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Finding the Third Proportional to 3,202,028 and 4,952,671

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Solution

The third proportional to 3,202,028 and 4,952,671 is: 7,660,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202,028 : 4,952,671 = 4,952,671 : x
  2. Step 2: Convert to fraction form
    3,202,028/4,952,671 = 4,952,671/x
  3. Step 3: Cross multiply
    3,202,028x = 4,952,671 × 4,952,671
  4. Step 4: Simplify right side
    3,202,028x = 24,528,950,034,241
  5. Step 5: Solve for x
    x = 24,528,950,034,241/3,202,028
  6. Step 6: Final answer
    x = 7,660,442.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.