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Finding the Third Proportional to 1,546,306 and 3,198,681

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Solution

The third proportional to 1,546,306 and 3,198,681 is: 6,616,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,306 : 3,198,681 = 3,198,681 : x
  2. Step 2: Convert to fraction form
    1,546,306/3,198,681 = 3,198,681/x
  3. Step 3: Cross multiply
    1,546,306x = 3,198,681 × 3,198,681
  4. Step 4: Simplify right side
    1,546,306x = 10,231,560,139,761
  5. Step 5: Solve for x
    x = 10,231,560,139,761/1,546,306
  6. Step 6: Final answer
    x = 6,616,775.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.