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Finding the Third Proportional to 687,409 and 1,510,229

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Solution

The third proportional to 687,409 and 1,510,229 is: 3,317,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,409 : 1,510,229 = 1,510,229 : x
  2. Step 2: Convert to fraction form
    687,409/1,510,229 = 1,510,229/x
  3. Step 3: Cross multiply
    687,409x = 1,510,229 × 1,510,229
  4. Step 4: Simplify right side
    687,409x = 2,280,791,632,441
  5. Step 5: Solve for x
    x = 2,280,791,632,441/687,409
  6. Step 6: Final answer
    x = 3,317,954.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.