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Finding the Third Proportional to 747,230 and 1,547,629

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Solution

The third proportional to 747,230 and 1,547,629 is: 3,205,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,230 : 1,547,629 = 1,547,629 : x
  2. Step 2: Convert to fraction form
    747,230/1,547,629 = 1,547,629/x
  3. Step 3: Cross multiply
    747,230x = 1,547,629 × 1,547,629
  4. Step 4: Simplify right side
    747,230x = 2,395,155,521,641
  5. Step 5: Solve for x
    x = 2,395,155,521,641/747,230
  6. Step 6: Final answer
    x = 3,205,379.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.