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Finding the Third Proportional to 3,827,280 and 5,926,144

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Solution

The third proportional to 3,827,280 and 5,926,144 is: 9,176,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827,280 : 5,926,144 = 5,926,144 : x
  2. Step 2: Convert to fraction form
    3,827,280/5,926,144 = 5,926,144/x
  3. Step 3: Cross multiply
    3,827,280x = 5,926,144 × 5,926,144
  4. Step 4: Simplify right side
    3,827,280x = 35,119,182,708,736
  5. Step 5: Solve for x
    x = 35,119,182,708,736/3,827,280
  6. Step 6: Final answer
    x = 9,176,016.05

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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.