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Finding the Third Proportional to 1,681,466 and 2,539,641

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Solution

The third proportional to 1,681,466 and 2,539,641 is: 3,835,805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,466 : 2,539,641 = 2,539,641 : x
  2. Step 2: Convert to fraction form
    1,681,466/2,539,641 = 2,539,641/x
  3. Step 3: Cross multiply
    1,681,466x = 2,539,641 × 2,539,641
  4. Step 4: Simplify right side
    1,681,466x = 6,449,776,408,881
  5. Step 5: Solve for x
    x = 6,449,776,408,881/1,681,466
  6. Step 6: Final answer
    x = 3,835,805.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.