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Finding the Third Proportional to 1,046,182 and 2,217,910

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Solution

The third proportional to 1,046,182 and 2,217,910 is: 4,701,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,182 : 2,217,910 = 2,217,910 : x
  2. Step 2: Convert to fraction form
    1,046,182/2,217,910 = 2,217,910/x
  3. Step 3: Cross multiply
    1,046,182x = 2,217,910 × 2,217,910
  4. Step 4: Simplify right side
    1,046,182x = 4,919,124,768,100
  5. Step 5: Solve for x
    x = 4,919,124,768,100/1,046,182
  6. Step 6: Final answer
    x = 4,701,978.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.