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Finding the Third Proportional to 732,144 and 1,342,788

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Solution

The third proportional to 732,144 and 1,342,788 is: 2,462,739.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,144 : 1,342,788 = 1,342,788 : x
  2. Step 2: Convert to fraction form
    732,144/1,342,788 = 1,342,788/x
  3. Step 3: Cross multiply
    732,144x = 1,342,788 × 1,342,788
  4. Step 4: Simplify right side
    732,144x = 1,803,079,612,944
  5. Step 5: Solve for x
    x = 1,803,079,612,944/732,144
  6. Step 6: Final answer
    x = 2,462,739.04

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.