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Finding the Third Proportional to 1,408,691.25 and 2,113,325.44

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Solution

The third proportional to 1,408,691.25 and 2,113,325.44 is: 3,170,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,691.25 : 2,113,325.44 = 2,113,325.44 : x
  2. Step 2: Convert to fraction form
    1,408,691.25/2,113,325.44 = 2,113,325.44/x
  3. Step 3: Cross multiply
    1,408,691.25x = 2,113,325.44 × 2,113,325.44
  4. Step 4: Simplify right side
    1,408,691.25x = 4,466,144,404,784.57
  5. Step 5: Solve for x
    x = 4,466,144,404,784.57/1,408,691.25
  6. Step 6: Final answer
    x = 3,170,421.06

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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.