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Finding the Third Proportional to 434,226 and 942,723

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Solution

The third proportional to 434,226 and 942,723 is: 2,046,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,226 : 942,723 = 942,723 : x
  2. Step 2: Convert to fraction form
    434,226/942,723 = 942,723/x
  3. Step 3: Cross multiply
    434,226x = 942,723 × 942,723
  4. Step 4: Simplify right side
    434,226x = 888,726,654,729
  5. Step 5: Solve for x
    x = 888,726,654,729/434,226
  6. Step 6: Final answer
    x = 2,046,691.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.