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Finding the Third Proportional to 540,469.13 and 1,251,056.81

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Solution

The third proportional to 540,469.13 and 1,251,056.81 is: 2,895,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,469.13 : 1,251,056.81 = 1,251,056.81 : x
  2. Step 2: Convert to fraction form
    540,469.13/1,251,056.81 = 1,251,056.81/x
  3. Step 3: Cross multiply
    540,469.13x = 1,251,056.81 × 1,251,056.81
  4. Step 4: Simplify right side
    540,469.13x = 1,565,143,148,102.66
  5. Step 5: Solve for x
    x = 1,565,143,148,102.66/540,469.13
  6. Step 6: Final answer
    x = 2,895,897.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.