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Finding the Third Proportional to 988,353 and 2,165,814

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Solution

The third proportional to 988,353 and 2,165,814 is: 4,746,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,353 : 2,165,814 = 2,165,814 : x
  2. Step 2: Convert to fraction form
    988,353/2,165,814 = 2,165,814/x
  3. Step 3: Cross multiply
    988,353x = 2,165,814 × 2,165,814
  4. Step 4: Simplify right side
    988,353x = 4,690,750,282,596
  5. Step 5: Solve for x
    x = 4,690,750,282,596/988,353
  6. Step 6: Final answer
    x = 4,746,027.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.