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Finding the Third Proportional to 766,127 and 1,664,932

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Solution

The third proportional to 766,127 and 1,664,932 is: 3,618,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,127 : 1,664,932 = 1,664,932 : x
  2. Step 2: Convert to fraction form
    766,127/1,664,932 = 1,664,932/x
  3. Step 3: Cross multiply
    766,127x = 1,664,932 × 1,664,932
  4. Step 4: Simplify right side
    766,127x = 2,771,998,564,624
  5. Step 5: Solve for x
    x = 2,771,998,564,624/766,127
  6. Step 6: Final answer
    x = 3,618,197.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.