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Finding the Third Proportional to 548,156 and 1,156,295

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Solution

The third proportional to 548,156 and 1,156,295 is: 2,439,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,156 : 1,156,295 = 1,156,295 : x
  2. Step 2: Convert to fraction form
    548,156/1,156,295 = 1,156,295/x
  3. Step 3: Cross multiply
    548,156x = 1,156,295 × 1,156,295
  4. Step 4: Simplify right side
    548,156x = 1,337,018,127,025
  5. Step 5: Solve for x
    x = 1,337,018,127,025/548,156
  6. Step 6: Final answer
    x = 2,439,119.75

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Why These Related Problems?

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