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Finding the Third Proportional to 4,209,950 and 5,865,507

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Solution

The third proportional to 4,209,950 and 5,865,507 is: 8,172,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209,950 : 5,865,507 = 5,865,507 : x
  2. Step 2: Convert to fraction form
    4,209,950/5,865,507 = 5,865,507/x
  3. Step 3: Cross multiply
    4,209,950x = 5,865,507 × 5,865,507
  4. Step 4: Simplify right side
    4,209,950x = 34,404,172,367,049
  5. Step 5: Solve for x
    x = 34,404,172,367,049/4,209,950
  6. Step 6: Final answer
    x = 8,172,109.49

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.