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Finding the Third Proportional to 623,427 and 1,344,144

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Solution

The third proportional to 623,427 and 1,344,144 is: 2,898,050.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,427 : 1,344,144 = 1,344,144 : x
  2. Step 2: Convert to fraction form
    623,427/1,344,144 = 1,344,144/x
  3. Step 3: Cross multiply
    623,427x = 1,344,144 × 1,344,144
  4. Step 4: Simplify right side
    623,427x = 1,806,723,092,736
  5. Step 5: Solve for x
    x = 1,806,723,092,736/623,427
  6. Step 6: Final answer
    x = 2,898,050.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.