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Finding the Third Proportional to 771,414.89 and 1,154,328.47

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Solution

The third proportional to 771,414.89 and 1,154,328.47 is: 1,727,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,414.89 : 1,154,328.47 = 1,154,328.47 : x
  2. Step 2: Convert to fraction form
    771,414.89/1,154,328.47 = 1,154,328.47/x
  3. Step 3: Cross multiply
    771,414.89x = 1,154,328.47 × 1,154,328.47
  4. Step 4: Simplify right side
    771,414.89x = 1,332,474,213,766.72
  5. Step 5: Solve for x
    x = 1,332,474,213,766.72/771,414.89
  6. Step 6: Final answer
    x = 1,727,312.02

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Why These Related Problems?

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