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Finding the Third Proportional to 1,681,034 and 2,583,743

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Solution

The third proportional to 1,681,034 and 2,583,743 is: 3,971,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,034 : 2,583,743 = 2,583,743 : x
  2. Step 2: Convert to fraction form
    1,681,034/2,583,743 = 2,583,743/x
  3. Step 3: Cross multiply
    1,681,034x = 2,583,743 × 2,583,743
  4. Step 4: Simplify right side
    1,681,034x = 6,675,727,890,049
  5. Step 5: Solve for x
    x = 6,675,727,890,049/1,681,034
  6. Step 6: Final answer
    x = 3,971,203.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.