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Finding the Third Proportional to 694,308.38 and 1,041,460.88

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Solution

The third proportional to 694,308.38 and 1,041,460.88 is: 1,562,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,308.38 : 1,041,460.88 = 1,041,460.88 : x
  2. Step 2: Convert to fraction form
    694,308.38/1,041,460.88 = 1,041,460.88/x
  3. Step 3: Cross multiply
    694,308.38x = 1,041,460.88 × 1,041,460.88
  4. Step 4: Simplify right side
    694,308.38x = 1,084,640,754,155.77
  5. Step 5: Solve for x
    x = 1,084,640,754,155.77/694,308.38
  6. Step 6: Final answer
    x = 1,562,188.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.