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Finding the Third Proportional to 935,249 and 1,409,192

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Solution

The third proportional to 935,249 and 1,409,192 is: 2,123,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,249 : 1,409,192 = 1,409,192 : x
  2. Step 2: Convert to fraction form
    935,249/1,409,192 = 1,409,192/x
  3. Step 3: Cross multiply
    935,249x = 1,409,192 × 1,409,192
  4. Step 4: Simplify right side
    935,249x = 1,985,822,092,864
  5. Step 5: Solve for x
    x = 1,985,822,092,864/935,249
  6. Step 6: Final answer
    x = 2,123,308.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.