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Finding the Third Proportional to 1,422,216 and 3,011,697

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Solution

The third proportional to 1,422,216 and 3,011,697 is: 6,377,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422,216 : 3,011,697 = 3,011,697 : x
  2. Step 2: Convert to fraction form
    1,422,216/3,011,697 = 3,011,697/x
  3. Step 3: Cross multiply
    1,422,216x = 3,011,697 × 3,011,697
  4. Step 4: Simplify right side
    1,422,216x = 9,070,318,819,809
  5. Step 5: Solve for x
    x = 9,070,318,819,809/1,422,216
  6. Step 6: Final answer
    x = 6,377,595.82

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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.