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Finding the Third Proportional to 2,732,210 and 5,884,910

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Solution

The third proportional to 2,732,210 and 5,884,910 is: 12,675,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732,210 : 5,884,910 = 5,884,910 : x
  2. Step 2: Convert to fraction form
    2,732,210/5,884,910 = 5,884,910/x
  3. Step 3: Cross multiply
    2,732,210x = 5,884,910 × 5,884,910
  4. Step 4: Simplify right side
    2,732,210x = 34,632,165,708,100
  5. Step 5: Solve for x
    x = 34,632,165,708,100/2,732,210
  6. Step 6: Final answer
    x = 12,675,513.85

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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.