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Finding the Third Proportional to 858,432.38 and 1,328,599.69

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Solution

The third proportional to 858,432.38 and 1,328,599.69 is: 2,056,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,432.38 : 1,328,599.69 = 1,328,599.69 : x
  2. Step 2: Convert to fraction form
    858,432.38/1,328,599.69 = 1,328,599.69/x
  3. Step 3: Cross multiply
    858,432.38x = 1,328,599.69 × 1,328,599.69
  4. Step 4: Simplify right side
    858,432.38x = 1,765,177,129,625.10
  5. Step 5: Solve for x
    x = 1,765,177,129,625.10/858,432.38
  6. Step 6: Final answer
    x = 2,056,279.77

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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.