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Finding the Third Proportional to 527,930 and 1,244,933

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Solution

The third proportional to 527,930 and 1,244,933 is: 2,935,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,930 : 1,244,933 = 1,244,933 : x
  2. Step 2: Convert to fraction form
    527,930/1,244,933 = 1,244,933/x
  3. Step 3: Cross multiply
    527,930x = 1,244,933 × 1,244,933
  4. Step 4: Simplify right side
    527,930x = 1,549,858,174,489
  5. Step 5: Solve for x
    x = 1,549,858,174,489/527,930
  6. Step 6: Final answer
    x = 2,935,726.66

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Why These Related Problems?

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