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Finding the Third Proportional to 527,760 and 1,073,952

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Solution

The third proportional to 527,760 and 1,073,952 is: 2,185,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,760 : 1,073,952 = 1,073,952 : x
  2. Step 2: Convert to fraction form
    527,760/1,073,952 = 1,073,952/x
  3. Step 3: Cross multiply
    527,760x = 1,073,952 × 1,073,952
  4. Step 4: Simplify right side
    527,760x = 1,153,372,898,304
  5. Step 5: Solve for x
    x = 1,153,372,898,304/527,760
  6. Step 6: Final answer
    x = 2,185,411.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.