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Finding the Third Proportional to 527,344 and 1,092,073

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Solution

The third proportional to 527,344 and 1,092,073 is: 2,261,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,344 : 1,092,073 = 1,092,073 : x
  2. Step 2: Convert to fraction form
    527,344/1,092,073 = 1,092,073/x
  3. Step 3: Cross multiply
    527,344x = 1,092,073 × 1,092,073
  4. Step 4: Simplify right side
    527,344x = 1,192,623,437,329
  5. Step 5: Solve for x
    x = 1,192,623,437,329/527,344
  6. Step 6: Final answer
    x = 2,261,566.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.