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Finding the Third Proportional to 1,144,854 and 2,486,538

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Solution

The third proportional to 1,144,854 and 2,486,538 is: 5,400,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,854 : 2,486,538 = 2,486,538 : x
  2. Step 2: Convert to fraction form
    1,144,854/2,486,538 = 2,486,538/x
  3. Step 3: Cross multiply
    1,144,854x = 2,486,538 × 2,486,538
  4. Step 4: Simplify right side
    1,144,854x = 6,182,871,225,444
  5. Step 5: Solve for x
    x = 6,182,871,225,444/1,144,854
  6. Step 6: Final answer
    x = 5,400,576.17

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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.