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Finding the Third Proportional to 1,181,856 and 2,849,394

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Solution

The third proportional to 1,181,856 and 2,849,394 is: 6,869,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,856 : 2,849,394 = 2,849,394 : x
  2. Step 2: Convert to fraction form
    1,181,856/2,849,394 = 2,849,394/x
  3. Step 3: Cross multiply
    1,181,856x = 2,849,394 × 2,849,394
  4. Step 4: Simplify right side
    1,181,856x = 8,119,046,167,236
  5. Step 5: Solve for x
    x = 8,119,046,167,236/1,181,856
  6. Step 6: Final answer
    x = 6,869,742.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.