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Finding the Third Proportional to 1,026,178.50 and 1,508,373

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Solution

The third proportional to 1,026,178.50 and 1,508,373 is: 2,217,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,178.50 : 1,508,373 = 1,508,373 : x
  2. Step 2: Convert to fraction form
    1,026,178.50/1,508,373 = 1,508,373/x
  3. Step 3: Cross multiply
    1,026,178.50x = 1,508,373 × 1,508,373
  4. Step 4: Simplify right side
    1,026,178.50x = 2,275,189,107,129
  5. Step 5: Solve for x
    x = 2,275,189,107,129/1,026,178.50
  6. Step 6: Final answer
    x = 2,217,147.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.