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Finding the Third Proportional to 1,785,008 and 2,681,408

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Solution

The third proportional to 1,785,008 and 2,681,408 is: 4,027,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,008 : 2,681,408 = 2,681,408 : x
  2. Step 2: Convert to fraction form
    1,785,008/2,681,408 = 2,681,408/x
  3. Step 3: Cross multiply
    1,785,008x = 2,681,408 × 2,681,408
  4. Step 4: Simplify right side
    1,785,008x = 7,189,948,862,464
  5. Step 5: Solve for x
    x = 7,189,948,862,464/1,785,008
  6. Step 6: Final answer
    x = 4,027,964.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.