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Finding the Third Proportional to 745,344 and 1,053,648

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Solution

The third proportional to 745,344 and 1,053,648 is: 1,489,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,344 : 1,053,648 = 1,053,648 : x
  2. Step 2: Convert to fraction form
    745,344/1,053,648 = 1,053,648/x
  3. Step 3: Cross multiply
    745,344x = 1,053,648 × 1,053,648
  4. Step 4: Simplify right side
    745,344x = 1,110,174,107,904
  5. Step 5: Solve for x
    x = 1,110,174,107,904/745,344
  6. Step 6: Final answer
    x = 1,489,478.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.