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Finding the Third Proportional to 754,217 and 1,649,432

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Solution

The third proportional to 754,217 and 1,649,432 is: 3,607,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,217 : 1,649,432 = 1,649,432 : x
  2. Step 2: Convert to fraction form
    754,217/1,649,432 = 1,649,432/x
  3. Step 3: Cross multiply
    754,217x = 1,649,432 × 1,649,432
  4. Step 4: Simplify right side
    754,217x = 2,720,625,922,624
  5. Step 5: Solve for x
    x = 2,720,625,922,624/754,217
  6. Step 6: Final answer
    x = 3,607,219.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.