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Finding the Third Proportional to 1,023,915.25 and 1,589,823.50

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Solution

The third proportional to 1,023,915.25 and 1,589,823.50 is: 2,468,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,915.25 : 1,589,823.50 = 1,589,823.50 : x
  2. Step 2: Convert to fraction form
    1,023,915.25/1,589,823.50 = 1,589,823.50/x
  3. Step 3: Cross multiply
    1,023,915.25x = 1,589,823.50 × 1,589,823.50
  4. Step 4: Simplify right side
    1,023,915.25x = 2,527,538,761,152.25
  5. Step 5: Solve for x
    x = 2,527,538,761,152.25/1,023,915.25
  6. Step 6: Final answer
    x = 2,468,503.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.