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Finding the Third Proportional to 2,021,697.83 and 4,351,672.95

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Solution

The third proportional to 2,021,697.83 and 4,351,672.95 is: 9,366,907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,697.83 : 4,351,672.95 = 4,351,672.95 : x
  2. Step 2: Convert to fraction form
    2,021,697.83/4,351,672.95 = 4,351,672.95/x
  3. Step 3: Cross multiply
    2,021,697.83x = 4,351,672.95 × 4,351,672.95
  4. Step 4: Simplify right side
    2,021,697.83x = 18,937,057,473,961.16
  5. Step 5: Solve for x
    x = 18,937,057,473,961.16/2,021,697.83
  6. Step 6: Final answer
    x = 9,366,907.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.