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Finding the Third Proportional to 992,914 and 2,143,251

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Solution

The third proportional to 992,914 and 2,143,251 is: 4,626,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,914 : 2,143,251 = 2,143,251 : x
  2. Step 2: Convert to fraction form
    992,914/2,143,251 = 2,143,251/x
  3. Step 3: Cross multiply
    992,914x = 2,143,251 × 2,143,251
  4. Step 4: Simplify right side
    992,914x = 4,593,524,849,001
  5. Step 5: Solve for x
    x = 4,593,524,849,001/992,914
  6. Step 6: Final answer
    x = 4,626,306.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.