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Finding the Third Proportional to 2,679,785 and 5,748,584

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Solution

The third proportional to 2,679,785 and 5,748,584 is: 12,331,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679,785 : 5,748,584 = 5,748,584 : x
  2. Step 2: Convert to fraction form
    2,679,785/5,748,584 = 5,748,584/x
  3. Step 3: Cross multiply
    2,679,785x = 5,748,584 × 5,748,584
  4. Step 4: Simplify right side
    2,679,785x = 33,046,218,005,056
  5. Step 5: Solve for x
    x = 33,046,218,005,056/2,679,785
  6. Step 6: Final answer
    x = 12,331,667.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.