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Finding the Third Proportional to 1,665,306 and 2,213,919

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Solution

The third proportional to 1,665,306 and 2,213,919 is: 2,943,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,306 : 2,213,919 = 2,213,919 : x
  2. Step 2: Convert to fraction form
    1,665,306/2,213,919 = 2,213,919/x
  3. Step 3: Cross multiply
    1,665,306x = 2,213,919 × 2,213,919
  4. Step 4: Simplify right side
    1,665,306x = 4,901,437,338,561
  5. Step 5: Solve for x
    x = 4,901,437,338,561/1,665,306
  6. Step 6: Final answer
    x = 2,943,265.28

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.