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Finding the Third Proportional to 992,416 and 2,152,868

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Solution

The third proportional to 992,416 and 2,152,868 is: 4,670,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,416 : 2,152,868 = 2,152,868 : x
  2. Step 2: Convert to fraction form
    992,416/2,152,868 = 2,152,868/x
  3. Step 3: Cross multiply
    992,416x = 2,152,868 × 2,152,868
  4. Step 4: Simplify right side
    992,416x = 4,634,840,625,424
  5. Step 5: Solve for x
    x = 4,634,840,625,424/992,416
  6. Step 6: Final answer
    x = 4,670,259.88

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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.