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Finding the Third Proportional to 2,027,408 and 2,834,440

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Solution

The third proportional to 2,027,408 and 2,834,440 is: 3,962,719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,408 : 2,834,440 = 2,834,440 : x
  2. Step 2: Convert to fraction form
    2,027,408/2,834,440 = 2,834,440/x
  3. Step 3: Cross multiply
    2,027,408x = 2,834,440 × 2,834,440
  4. Step 4: Simplify right side
    2,027,408x = 8,034,050,113,600
  5. Step 5: Solve for x
    x = 8,034,050,113,600/2,027,408
  6. Step 6: Final answer
    x = 3,962,719.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.