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Finding the Third Proportional to 745,226 and 1,053,471

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Solution

The third proportional to 745,226 and 1,053,471 is: 1,489,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,226 : 1,053,471 = 1,053,471 : x
  2. Step 2: Convert to fraction form
    745,226/1,053,471 = 1,053,471/x
  3. Step 3: Cross multiply
    745,226x = 1,053,471 × 1,053,471
  4. Step 4: Simplify right side
    745,226x = 1,109,801,147,841
  5. Step 5: Solve for x
    x = 1,109,801,147,841/745,226
  6. Step 6: Final answer
    x = 1,489,214.21

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Why These Related Problems?

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