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Finding the Third Proportional to 1,125,927 and 1,659,123

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Solution

The third proportional to 1,125,927 and 1,659,123 is: 2,444,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,927 : 1,659,123 = 1,659,123 : x
  2. Step 2: Convert to fraction form
    1,125,927/1,659,123 = 1,659,123/x
  3. Step 3: Cross multiply
    1,125,927x = 1,659,123 × 1,659,123
  4. Step 4: Simplify right side
    1,125,927x = 2,752,689,129,129
  5. Step 5: Solve for x
    x = 2,752,689,129,129/1,125,927
  6. Step 6: Final answer
    x = 2,444,820.25

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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.