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Finding the Third Proportional to 528,673,744 and 1,145,196,704

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Solution

The third proportional to 528,673,744 and 1,145,196,704 is: 2,480,689,661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,673,744 : 1,145,196,704 = 1,145,196,704 : x
  2. Step 2: Convert to fraction form
    528,673,744/1,145,196,704 = 1,145,196,704/x
  3. Step 3: Cross multiply
    528,673,744x = 1,145,196,704 × 1,145,196,704
  4. Step 4: Simplify right side
    528,673,744x = 1,311,475,490,852,463,616
  5. Step 5: Solve for x
    x = 1,311,475,490,852,463,616/528,673,744
  6. Step 6: Final answer
    x = 2,480,689,661.13

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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.