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Finding the Third Proportional to 491,427 and 1,035,342

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Solution

The third proportional to 491,427 and 1,035,342 is: 2,181,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,427 : 1,035,342 = 1,035,342 : x
  2. Step 2: Convert to fraction form
    491,427/1,035,342 = 1,035,342/x
  3. Step 3: Cross multiply
    491,427x = 1,035,342 × 1,035,342
  4. Step 4: Simplify right side
    491,427x = 1,071,933,056,964
  5. Step 5: Solve for x
    x = 1,071,933,056,964/491,427
  6. Step 6: Final answer
    x = 2,181,266.10

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.