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Finding the Third Proportional to 992,883.38 and 1,534,257.38

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Solution

The third proportional to 992,883.38 and 1,534,257.38 is: 2,370,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,883.38 : 1,534,257.38 = 1,534,257.38 : x
  2. Step 2: Convert to fraction form
    992,883.38/1,534,257.38 = 1,534,257.38/x
  3. Step 3: Cross multiply
    992,883.38x = 1,534,257.38 × 1,534,257.38
  4. Step 4: Simplify right side
    992,883.38x = 2,353,945,692,741.89
  5. Step 5: Solve for x
    x = 2,353,945,692,741.89/992,883.38
  6. Step 6: Final answer
    x = 2,370,817.91

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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.