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Finding the Third Proportional to 947,403 and 1,456,241

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Solution

The third proportional to 947,403 and 1,456,241 is: 2,238,369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,403 : 1,456,241 = 1,456,241 : x
  2. Step 2: Convert to fraction form
    947,403/1,456,241 = 1,456,241/x
  3. Step 3: Cross multiply
    947,403x = 1,456,241 × 1,456,241
  4. Step 4: Simplify right side
    947,403x = 2,120,637,850,081
  5. Step 5: Solve for x
    x = 2,120,637,850,081/947,403
  6. Step 6: Final answer
    x = 2,238,369.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.