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Finding the Third Proportional to 574,584 and 1,221,792

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Solution

The third proportional to 574,584 and 1,221,792 is: 2,598,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,584 : 1,221,792 = 1,221,792 : x
  2. Step 2: Convert to fraction form
    574,584/1,221,792 = 1,221,792/x
  3. Step 3: Cross multiply
    574,584x = 1,221,792 × 1,221,792
  4. Step 4: Simplify right side
    574,584x = 1,492,775,691,264
  5. Step 5: Solve for x
    x = 1,492,775,691,264/574,584
  6. Step 6: Final answer
    x = 2,598,011.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.