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Finding the Third Proportional to 611,674 and 1,439,144

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Solution

The third proportional to 611,674 and 1,439,144 is: 3,386,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,674 : 1,439,144 = 1,439,144 : x
  2. Step 2: Convert to fraction form
    611,674/1,439,144 = 1,439,144/x
  3. Step 3: Cross multiply
    611,674x = 1,439,144 × 1,439,144
  4. Step 4: Simplify right side
    611,674x = 2,071,135,452,736
  5. Step 5: Solve for x
    x = 2,071,135,452,736/611,674
  6. Step 6: Final answer
    x = 3,386,011.92

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.