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Finding the Third Proportional to 1,023,336 and 1,431,408

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Solution

The third proportional to 1,023,336 and 1,431,408 is: 2,002,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,336 : 1,431,408 = 1,431,408 : x
  2. Step 2: Convert to fraction form
    1,023,336/1,431,408 = 1,431,408/x
  3. Step 3: Cross multiply
    1,023,336x = 1,431,408 × 1,431,408
  4. Step 4: Simplify right side
    1,023,336x = 2,048,928,862,464
  5. Step 5: Solve for x
    x = 2,048,928,862,464/1,023,336
  6. Step 6: Final answer
    x = 2,002,205.40

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Why These Related Problems?

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