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Finding the Third Proportional to 654,599.29 and 1,015,951.20

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Solution

The third proportional to 654,599.29 and 1,015,951.20 is: 1,576,776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,599.29 : 1,015,951.20 = 1,015,951.20 : x
  2. Step 2: Convert to fraction form
    654,599.29/1,015,951.20 = 1,015,951.20/x
  3. Step 3: Cross multiply
    654,599.29x = 1,015,951.20 × 1,015,951.20
  4. Step 4: Simplify right side
    654,599.29x = 1,032,156,843,162.63
  5. Step 5: Solve for x
    x = 1,032,156,843,162.63/654,599.29
  6. Step 6: Final answer
    x = 1,576,776.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.