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Finding the Third Proportional to 1,408,032 and 2,990,592

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Solution

The third proportional to 1,408,032 and 2,990,592 is: 6,351,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,032 : 2,990,592 = 2,990,592 : x
  2. Step 2: Convert to fraction form
    1,408,032/2,990,592 = 2,990,592/x
  3. Step 3: Cross multiply
    1,408,032x = 2,990,592 × 2,990,592
  4. Step 4: Simplify right side
    1,408,032x = 8,943,640,510,464
  5. Step 5: Solve for x
    x = 8,943,640,510,464/1,408,032
  6. Step 6: Final answer
    x = 6,351,873.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.