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Finding the Third Proportional to 521,253 and 1,142,163

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Solution

The third proportional to 521,253 and 1,142,163 is: 2,502,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,253 : 1,142,163 = 1,142,163 : x
  2. Step 2: Convert to fraction form
    521,253/1,142,163 = 1,142,163/x
  3. Step 3: Cross multiply
    521,253x = 1,142,163 × 1,142,163
  4. Step 4: Simplify right side
    521,253x = 1,304,536,318,569
  5. Step 5: Solve for x
    x = 1,304,536,318,569/521,253
  6. Step 6: Final answer
    x = 2,502,693.16

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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.