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Finding the Third Proportional to 527,822 and 1,244,738

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Solution

The third proportional to 527,822 and 1,244,738 is: 2,935,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,822 : 1,244,738 = 1,244,738 : x
  2. Step 2: Convert to fraction form
    527,822/1,244,738 = 1,244,738/x
  3. Step 3: Cross multiply
    527,822x = 1,244,738 × 1,244,738
  4. Step 4: Simplify right side
    527,822x = 1,549,372,688,644
  5. Step 5: Solve for x
    x = 1,549,372,688,644/527,822
  6. Step 6: Final answer
    x = 2,935,407.56

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.