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Finding the Third Proportional to 2,127,775 and 4,617,251

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Solution

The third proportional to 2,127,775 and 4,617,251 is: 10,019,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,775 : 4,617,251 = 4,617,251 : x
  2. Step 2: Convert to fraction form
    2,127,775/4,617,251 = 4,617,251/x
  3. Step 3: Cross multiply
    2,127,775x = 4,617,251 × 4,617,251
  4. Step 4: Simplify right side
    2,127,775x = 21,319,006,797,001
  5. Step 5: Solve for x
    x = 21,319,006,797,001/2,127,775
  6. Step 6: Final answer
    x = 10,019,389.64

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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.