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Finding the Third Proportional to 1,126,144 and 2,390,464

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Solution

The third proportional to 1,126,144 and 2,390,464 is: 5,074,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126,144 : 2,390,464 = 2,390,464 : x
  2. Step 2: Convert to fraction form
    1,126,144/2,390,464 = 2,390,464/x
  3. Step 3: Cross multiply
    1,126,144x = 2,390,464 × 2,390,464
  4. Step 4: Simplify right side
    1,126,144x = 5,714,318,135,296
  5. Step 5: Solve for x
    x = 5,714,318,135,296/1,126,144
  6. Step 6: Final answer
    x = 5,074,233.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.