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Finding the Third Proportional to 452,871 and 969,165

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Solution

The third proportional to 452,871 and 969,165 is: 2,074,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,871 : 969,165 = 969,165 : x
  2. Step 2: Convert to fraction form
    452,871/969,165 = 969,165/x
  3. Step 3: Cross multiply
    452,871x = 969,165 × 969,165
  4. Step 4: Simplify right side
    452,871x = 939,280,797,225
  5. Step 5: Solve for x
    x = 939,280,797,225/452,871
  6. Step 6: Final answer
    x = 2,074,058.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.