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Finding the Third Proportional to 747,211 and 1,547,591

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Solution

The third proportional to 747,211 and 1,547,591 is: 3,205,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,211 : 1,547,591 = 1,547,591 : x
  2. Step 2: Convert to fraction form
    747,211/1,547,591 = 1,547,591/x
  3. Step 3: Cross multiply
    747,211x = 1,547,591 × 1,547,591
  4. Step 4: Simplify right side
    747,211x = 2,395,037,903,281
  5. Step 5: Solve for x
    x = 2,395,037,903,281/747,211
  6. Step 6: Final answer
    x = 3,205,303.33

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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.