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Finding the Third Proportional to 971,892 and 1,438,708.50

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Solution

The third proportional to 971,892 and 1,438,708.50 is: 2,129,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,892 : 1,438,708.50 = 1,438,708.50 : x
  2. Step 2: Convert to fraction form
    971,892/1,438,708.50 = 1,438,708.50/x
  3. Step 3: Cross multiply
    971,892x = 1,438,708.50 × 1,438,708.50
  4. Step 4: Simplify right side
    971,892x = 2,069,882,147,972.25
  5. Step 5: Solve for x
    x = 2,069,882,147,972.25/971,892
  6. Step 6: Final answer
    x = 2,129,745.02

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.