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Finding the Third Proportional to 670,251.38 and 1,011,635.16

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Solution

The third proportional to 670,251.38 and 1,011,635.16 is: 1,526,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,251.38 : 1,011,635.16 = 1,011,635.16 : x
  2. Step 2: Convert to fraction form
    670,251.38/1,011,635.16 = 1,011,635.16/x
  3. Step 3: Cross multiply
    670,251.38x = 1,011,635.16 × 1,011,635.16
  4. Step 4: Simplify right side
    670,251.38x = 1,023,405,689,360.96
  5. Step 5: Solve for x
    x = 1,023,405,689,360.96/670,251.38
  6. Step 6: Final answer
    x = 1,526,898.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.