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Finding the Third Proportional to 528,721,224 and 1,145,280,144

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Solution

The third proportional to 528,721,224 and 1,145,280,144 is: 2,480,828,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,721,224 : 1,145,280,144 = 1,145,280,144 : x
  2. Step 2: Convert to fraction form
    528,721,224/1,145,280,144 = 1,145,280,144/x
  3. Step 3: Cross multiply
    528,721,224x = 1,145,280,144 × 1,145,280,144
  4. Step 4: Simplify right side
    528,721,224x = 1,311,666,608,240,660,736
  5. Step 5: Solve for x
    x = 1,311,666,608,240,660,736/528,721,224
  6. Step 6: Final answer
    x = 2,480,828,362.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.