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Finding the Third Proportional to 1,407,264 and 2,744,538

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Solution

The third proportional to 1,407,264 and 2,744,538 is: 5,352,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,264 : 2,744,538 = 2,744,538 : x
  2. Step 2: Convert to fraction form
    1,407,264/2,744,538 = 2,744,538/x
  3. Step 3: Cross multiply
    1,407,264x = 2,744,538 × 2,744,538
  4. Step 4: Simplify right side
    1,407,264x = 7,532,488,833,444
  5. Step 5: Solve for x
    x = 7,532,488,833,444/1,407,264
  6. Step 6: Final answer
    x = 5,352,576.94

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.