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Finding the Third Proportional to 1,252,304 and 2,681,698

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Solution

The third proportional to 1,252,304 and 2,681,698 is: 5,742,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252,304 : 2,681,698 = 2,681,698 : x
  2. Step 2: Convert to fraction form
    1,252,304/2,681,698 = 2,681,698/x
  3. Step 3: Cross multiply
    1,252,304x = 2,681,698 × 2,681,698
  4. Step 4: Simplify right side
    1,252,304x = 7,191,504,163,204
  5. Step 5: Solve for x
    x = 7,191,504,163,204/1,252,304
  6. Step 6: Final answer
    x = 5,742,618.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.