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Finding the Third Proportional to 745,216 and 1,053,456

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Solution

The third proportional to 745,216 and 1,053,456 is: 1,489,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,216 : 1,053,456 = 1,053,456 : x
  2. Step 2: Convert to fraction form
    745,216/1,053,456 = 1,053,456/x
  3. Step 3: Cross multiply
    745,216x = 1,053,456 × 1,053,456
  4. Step 4: Simplify right side
    745,216x = 1,109,769,543,936
  5. Step 5: Solve for x
    x = 1,109,769,543,936/745,216
  6. Step 6: Final answer
    x = 1,489,191.78

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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.