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Finding the Third Proportional to 911,181 and 1,414,527

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Solution

The third proportional to 911,181 and 1,414,527 is: 2,195,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,181 : 1,414,527 = 1,414,527 : x
  2. Step 2: Convert to fraction form
    911,181/1,414,527 = 1,414,527/x
  3. Step 3: Cross multiply
    911,181x = 1,414,527 × 1,414,527
  4. Step 4: Simplify right side
    911,181x = 2,000,886,633,729
  5. Step 5: Solve for x
    x = 2,000,886,633,729/911,181
  6. Step 6: Final answer
    x = 2,195,926.64

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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.