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Finding the Third Proportional to 1,226,691 and 2,514,597

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Solution

The third proportional to 1,226,691 and 2,514,597 is: 5,154,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,691 : 2,514,597 = 2,514,597 : x
  2. Step 2: Convert to fraction form
    1,226,691/2,514,597 = 2,514,597/x
  3. Step 3: Cross multiply
    1,226,691x = 2,514,597 × 2,514,597
  4. Step 4: Simplify right side
    1,226,691x = 6,323,198,072,409
  5. Step 5: Solve for x
    x = 6,323,198,072,409/1,226,691
  6. Step 6: Final answer
    x = 5,154,678.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.