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Finding the Third Proportional to 2,102,822 and 3,150,734.50

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Solution

The third proportional to 2,102,822 and 3,150,734.50 is: 4,720,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,822 : 3,150,734.50 = 3,150,734.50 : x
  2. Step 2: Convert to fraction form
    2,102,822/3,150,734.50 = 3,150,734.50/x
  3. Step 3: Cross multiply
    2,102,822x = 3,150,734.50 × 3,150,734.50
  4. Step 4: Simplify right side
    2,102,822x = 9,927,127,889,490.25
  5. Step 5: Solve for x
    x = 9,927,127,889,490.25/2,102,822
  6. Step 6: Final answer
    x = 4,720,859.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.