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Finding the Third Proportional to 615,802 and 980,624

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Solution

The third proportional to 615,802 and 980,624 is: 1,561,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,802 : 980,624 = 980,624 : x
  2. Step 2: Convert to fraction form
    615,802/980,624 = 980,624/x
  3. Step 3: Cross multiply
    615,802x = 980,624 × 980,624
  4. Step 4: Simplify right side
    615,802x = 961,623,429,376
  5. Step 5: Solve for x
    x = 961,623,429,376/615,802
  6. Step 6: Final answer
    x = 1,561,578.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.