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Finding the Third Proportional to 997,423.88 and 1,542,898.13

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Solution

The third proportional to 997,423.88 and 1,542,898.13 is: 2,386,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,423.88 : 1,542,898.13 = 1,542,898.13 : x
  2. Step 2: Convert to fraction form
    997,423.88/1,542,898.13 = 1,542,898.13/x
  3. Step 3: Cross multiply
    997,423.88x = 1,542,898.13 × 1,542,898.13
  4. Step 4: Simplify right side
    997,423.88x = 2,380,534,624,128.52
  5. Step 5: Solve for x
    x = 2,380,534,624,128.52/997,423.88
  6. Step 6: Final answer
    x = 2,386,683.02

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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.