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Finding the Third Proportional to 424,730,547 and 1,001,207,810.25

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Solution

The third proportional to 424,730,547 and 1,001,207,810.25 is: 2,360,124,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,730,547 : 1,001,207,810.25 = 1,001,207,810.25 : x
  2. Step 2: Convert to fraction form
    424,730,547/1,001,207,810.25 = 1,001,207,810.25/x
  3. Step 3: Cross multiply
    424,730,547x = 1,001,207,810.25 × 1,001,207,810.25
  4. Step 4: Simplify right side
    424,730,547x = 1,002,417,079,305,600,000
  5. Step 5: Solve for x
    x = 1,002,417,079,305,600,000/424,730,547
  6. Step 6: Final answer
    x = 2,360,124,757.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.