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Finding the Third Proportional to 527,343 and 1,142,166

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Solution

The third proportional to 527,343 and 1,142,166 is: 2,473,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,343 : 1,142,166 = 1,142,166 : x
  2. Step 2: Convert to fraction form
    527,343/1,142,166 = 1,142,166/x
  3. Step 3: Cross multiply
    527,343x = 1,142,166 × 1,142,166
  4. Step 4: Simplify right side
    527,343x = 1,304,543,171,556
  5. Step 5: Solve for x
    x = 1,304,543,171,556/527,343
  6. Step 6: Final answer
    x = 2,473,803.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.