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Finding the Third Proportional to 1,510,306 and 3,195,571

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Solution

The third proportional to 1,510,306 and 3,195,571 is: 6,761,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,306 : 3,195,571 = 3,195,571 : x
  2. Step 2: Convert to fraction form
    1,510,306/3,195,571 = 3,195,571/x
  3. Step 3: Cross multiply
    1,510,306x = 3,195,571 × 3,195,571
  4. Step 4: Simplify right side
    1,510,306x = 10,211,674,016,041
  5. Step 5: Solve for x
    x = 10,211,674,016,041/1,510,306
  6. Step 6: Final answer
    x = 6,761,327.85

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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.