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Finding the Third Proportional to 3,613,562 and 4,817,511

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Solution

The third proportional to 3,613,562 and 4,817,511 is: 6,422,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613,562 : 4,817,511 = 4,817,511 : x
  2. Step 2: Convert to fraction form
    3,613,562/4,817,511 = 4,817,511/x
  3. Step 3: Cross multiply
    3,613,562x = 4,817,511 × 4,817,511
  4. Step 4: Simplify right side
    3,613,562x = 23,208,412,235,121
  5. Step 5: Solve for x
    x = 23,208,412,235,121/3,613,562
  6. Step 6: Final answer
    x = 6,422,585.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.