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Finding the Third Proportional to 1,023,008.25 and 1,422,411

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Solution

The third proportional to 1,023,008.25 and 1,422,411 is: 1,977,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,008.25 : 1,422,411 = 1,422,411 : x
  2. Step 2: Convert to fraction form
    1,023,008.25/1,422,411 = 1,422,411/x
  3. Step 3: Cross multiply
    1,023,008.25x = 1,422,411 × 1,422,411
  4. Step 4: Simplify right side
    1,023,008.25x = 2,023,253,052,921
  5. Step 5: Solve for x
    x = 2,023,253,052,921/1,023,008.25
  6. Step 6: Final answer
    x = 1,977,748.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.