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Finding the Third Proportional to 473,121 and 1,140,156

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Solution

The third proportional to 473,121 and 1,140,156 is: 2,747,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,121 : 1,140,156 = 1,140,156 : x
  2. Step 2: Convert to fraction form
    473,121/1,140,156 = 1,140,156/x
  3. Step 3: Cross multiply
    473,121x = 1,140,156 × 1,140,156
  4. Step 4: Simplify right side
    473,121x = 1,299,955,704,336
  5. Step 5: Solve for x
    x = 1,299,955,704,336/473,121
  6. Step 6: Final answer
    x = 2,747,617.85

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.