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Finding the Third Proportional to 3,037,584 and 4,436,421

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Solution

The third proportional to 3,037,584 and 4,436,421 is: 6,479,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037,584 : 4,436,421 = 4,436,421 : x
  2. Step 2: Convert to fraction form
    3,037,584/4,436,421 = 4,436,421/x
  3. Step 3: Cross multiply
    3,037,584x = 4,436,421 × 4,436,421
  4. Step 4: Simplify right side
    3,037,584x = 19,681,831,289,241
  5. Step 5: Solve for x
    x = 19,681,831,289,241/3,037,584
  6. Step 6: Final answer
    x = 6,479,436.05

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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.