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Finding the Third Proportional to 747,208 and 1,547,585

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Solution

The third proportional to 747,208 and 1,547,585 is: 3,205,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,208 : 1,547,585 = 1,547,585 : x
  2. Step 2: Convert to fraction form
    747,208/1,547,585 = 1,547,585/x
  3. Step 3: Cross multiply
    747,208x = 1,547,585 × 1,547,585
  4. Step 4: Simplify right side
    747,208x = 2,395,019,332,225
  5. Step 5: Solve for x
    x = 2,395,019,332,225/747,208
  6. Step 6: Final answer
    x = 3,205,291.34

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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.