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Finding the Third Proportional to 3,037,583 and 4,436,420

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Solution

The third proportional to 3,037,583 and 4,436,420 is: 6,479,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037,583 : 4,436,420 = 4,436,420 : x
  2. Step 2: Convert to fraction form
    3,037,583/4,436,420 = 4,436,420/x
  3. Step 3: Cross multiply
    3,037,583x = 4,436,420 × 4,436,420
  4. Step 4: Simplify right side
    3,037,583x = 19,681,822,416,400
  5. Step 5: Solve for x
    x = 19,681,822,416,400/3,037,583
  6. Step 6: Final answer
    x = 6,479,435.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.