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Finding the Third Proportional to 517,014 and 1,108,908

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Solution

The third proportional to 517,014 and 1,108,908 is: 2,378,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,014 : 1,108,908 = 1,108,908 : x
  2. Step 2: Convert to fraction form
    517,014/1,108,908 = 1,108,908/x
  3. Step 3: Cross multiply
    517,014x = 1,108,908 × 1,108,908
  4. Step 4: Simplify right side
    517,014x = 1,229,676,952,464
  5. Step 5: Solve for x
    x = 1,229,676,952,464/517,014
  6. Step 6: Final answer
    x = 2,378,421.00

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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.