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Finding the Third Proportional to 517,725 and 1,107,414

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Solution

The third proportional to 517,725 and 1,107,414 is: 2,368,759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,725 : 1,107,414 = 1,107,414 : x
  2. Step 2: Convert to fraction form
    517,725/1,107,414 = 1,107,414/x
  3. Step 3: Cross multiply
    517,725x = 1,107,414 × 1,107,414
  4. Step 4: Simplify right side
    517,725x = 1,226,365,767,396
  5. Step 5: Solve for x
    x = 1,226,365,767,396/517,725
  6. Step 6: Final answer
    x = 2,368,759.03

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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.