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Finding the Third Proportional to 971,160 and 1,469,856

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Solution

The third proportional to 971,160 and 1,469,856 is: 2,224,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,160 : 1,469,856 = 1,469,856 : x
  2. Step 2: Convert to fraction form
    971,160/1,469,856 = 1,469,856/x
  3. Step 3: Cross multiply
    971,160x = 1,469,856 × 1,469,856
  4. Step 4: Simplify right side
    971,160x = 2,160,476,660,736
  5. Step 5: Solve for x
    x = 2,160,476,660,736/971,160
  6. Step 6: Final answer
    x = 2,224,635.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.