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Finding the Third Proportional to 1,027,123 and 1,596,751

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Solution

The third proportional to 1,027,123 and 1,596,751 is: 2,482,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,123 : 1,596,751 = 1,596,751 : x
  2. Step 2: Convert to fraction form
    1,027,123/1,596,751 = 1,596,751/x
  3. Step 3: Cross multiply
    1,027,123x = 1,596,751 × 1,596,751
  4. Step 4: Simplify right side
    1,027,123x = 2,549,613,756,001
  5. Step 5: Solve for x
    x = 2,549,613,756,001/1,027,123
  6. Step 6: Final answer
    x = 2,482,286.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.