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Finding the Third Proportional to 2,171,164 and 3,193,587

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Solution

The third proportional to 2,171,164 and 3,193,587 is: 4,697,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,164 : 3,193,587 = 3,193,587 : x
  2. Step 2: Convert to fraction form
    2,171,164/3,193,587 = 3,193,587/x
  3. Step 3: Cross multiply
    2,171,164x = 3,193,587 × 3,193,587
  4. Step 4: Simplify right side
    2,171,164x = 10,198,997,926,569
  5. Step 5: Solve for x
    x = 10,198,997,926,569/2,171,164
  6. Step 6: Final answer
    x = 4,697,479.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.