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Finding the Third Proportional to 516,781 and 1,108,280

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Solution

The third proportional to 516,781 and 1,108,280 is: 2,376,798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,781 : 1,108,280 = 1,108,280 : x
  2. Step 2: Convert to fraction form
    516,781/1,108,280 = 1,108,280/x
  3. Step 3: Cross multiply
    516,781x = 1,108,280 × 1,108,280
  4. Step 4: Simplify right side
    516,781x = 1,228,284,558,400
  5. Step 5: Solve for x
    x = 1,228,284,558,400/516,781
  6. Step 6: Final answer
    x = 2,376,798.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.