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Finding the Third Proportional to 745,352 and 1,053,660

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Solution

The third proportional to 745,352 and 1,053,660 is: 1,489,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,352 : 1,053,660 = 1,053,660 : x
  2. Step 2: Convert to fraction form
    745,352/1,053,660 = 1,053,660/x
  3. Step 3: Cross multiply
    745,352x = 1,053,660 × 1,053,660
  4. Step 4: Simplify right side
    745,352x = 1,110,199,395,600
  5. Step 5: Solve for x
    x = 1,110,199,395,600/745,352
  6. Step 6: Final answer
    x = 1,489,496.77

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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.