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Finding the Third Proportional to 610,286 and 887,727

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Solution

The third proportional to 610,286 and 887,727 is: 1,291,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,286 : 887,727 = 887,727 : x
  2. Step 2: Convert to fraction form
    610,286/887,727 = 887,727/x
  3. Step 3: Cross multiply
    610,286x = 887,727 × 887,727
  4. Step 4: Simplify right side
    610,286x = 788,059,226,529
  5. Step 5: Solve for x
    x = 788,059,226,529/610,286
  6. Step 6: Final answer
    x = 1,291,294.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.