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Finding the Third Proportional to 960,231 and 1,486,719

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Solution

The third proportional to 960,231 and 1,486,719 is: 2,301,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,231 : 1,486,719 = 1,486,719 : x
  2. Step 2: Convert to fraction form
    960,231/1,486,719 = 1,486,719/x
  3. Step 3: Cross multiply
    960,231x = 1,486,719 × 1,486,719
  4. Step 4: Simplify right side
    960,231x = 2,210,333,384,961
  5. Step 5: Solve for x
    x = 2,210,333,384,961/960,231
  6. Step 6: Final answer
    x = 2,301,876.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.