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Finding the Third Proportional to 2,854,646 and 6,182,600

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Solution

The third proportional to 2,854,646 and 6,182,600 is: 13,390,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,646 : 6,182,600 = 6,182,600 : x
  2. Step 2: Convert to fraction form
    2,854,646/6,182,600 = 6,182,600/x
  3. Step 3: Cross multiply
    2,854,646x = 6,182,600 × 6,182,600
  4. Step 4: Simplify right side
    2,854,646x = 38,224,542,760,000
  5. Step 5: Solve for x
    x = 38,224,542,760,000/2,854,646
  6. Step 6: Final answer
    x = 13,390,291.74

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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.