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Finding the Third Proportional to 528,637,704.75 and 1,120,293,362.25

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Solution

The third proportional to 528,637,704.75 and 1,120,293,362.25 is: 2,374,134,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,637,704.75 : 1,120,293,362.25 = 1,120,293,362.25 : x
  2. Step 2: Convert to fraction form
    528,637,704.75/1,120,293,362.25 = 1,120,293,362.25/x
  3. Step 3: Cross multiply
    528,637,704.75x = 1,120,293,362.25 × 1,120,293,362.25
  4. Step 4: Simplify right side
    528,637,704.75x = 1,255,057,217,501,409,792
  5. Step 5: Solve for x
    x = 1,255,057,217,501,409,792/528,637,704.75
  6. Step 6: Final answer
    x = 2,374,134,887.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.