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Finding the Third Proportional to 527,358 and 1,092,099

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Solution

The third proportional to 527,358 and 1,092,099 is: 2,261,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,358 : 1,092,099 = 1,092,099 : x
  2. Step 2: Convert to fraction form
    527,358/1,092,099 = 1,092,099/x
  3. Step 3: Cross multiply
    527,358x = 1,092,099 × 1,092,099
  4. Step 4: Simplify right side
    527,358x = 1,192,680,225,801
  5. Step 5: Solve for x
    x = 1,192,680,225,801/527,358
  6. Step 6: Final answer
    x = 2,261,613.98

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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.