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Finding the Third Proportional to 558,024 and 1,220,376

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Solution

The third proportional to 558,024 and 1,220,376 is: 2,668,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,024 : 1,220,376 = 1,220,376 : x
  2. Step 2: Convert to fraction form
    558,024/1,220,376 = 1,220,376/x
  3. Step 3: Cross multiply
    558,024x = 1,220,376 × 1,220,376
  4. Step 4: Simplify right side
    558,024x = 1,489,317,581,376
  5. Step 5: Solve for x
    x = 1,489,317,581,376/558,024
  6. Step 6: Final answer
    x = 2,668,913.13

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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.