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Finding the Third Proportional to 1,681,464 and 2,539,638

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Solution

The third proportional to 1,681,464 and 2,539,638 is: 3,835,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,464 : 2,539,638 = 2,539,638 : x
  2. Step 2: Convert to fraction form
    1,681,464/2,539,638 = 2,539,638/x
  3. Step 3: Cross multiply
    1,681,464x = 2,539,638 × 2,539,638
  4. Step 4: Simplify right side
    1,681,464x = 6,449,761,171,044
  5. Step 5: Solve for x
    x = 6,449,761,171,044/1,681,464
  6. Step 6: Final answer
    x = 3,835,800.93

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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.