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Finding the Third Proportional to 548,154.84 and 1,156,292.72

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Solution

The third proportional to 548,154.84 and 1,156,292.72 is: 2,439,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,154.84 : 1,156,292.72 = 1,156,292.72 : x
  2. Step 2: Convert to fraction form
    548,154.84/1,156,292.72 = 1,156,292.72/x
  3. Step 3: Cross multiply
    548,154.84x = 1,156,292.72 × 1,156,292.72
  4. Step 4: Simplify right side
    548,154.84x = 1,337,012,851,434.27
  5. Step 5: Solve for x
    x = 1,337,012,851,434.27/548,154.84
  6. Step 6: Final answer
    x = 2,439,115.27

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.