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Finding the Third Proportional to 508,614 and 1,104,624

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Solution

The third proportional to 508,614 and 1,104,624 is: 2,399,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,614 : 1,104,624 = 1,104,624 : x
  2. Step 2: Convert to fraction form
    508,614/1,104,624 = 1,104,624/x
  3. Step 3: Cross multiply
    508,614x = 1,104,624 × 1,104,624
  4. Step 4: Simplify right side
    508,614x = 1,220,194,181,376
  5. Step 5: Solve for x
    x = 1,220,194,181,376/508,614
  6. Step 6: Final answer
    x = 2,399,057.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.