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Finding the Third Proportional to 2,114,649 and 3,172,621.50

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Solution

The third proportional to 2,114,649 and 3,172,621.50 is: 4,759,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114,649 : 3,172,621.50 = 3,172,621.50 : x
  2. Step 2: Convert to fraction form
    2,114,649/3,172,621.50 = 3,172,621.50/x
  3. Step 3: Cross multiply
    2,114,649x = 3,172,621.50 × 3,172,621.50
  4. Step 4: Simplify right side
    2,114,649x = 10,065,527,182,262.25
  5. Step 5: Solve for x
    x = 10,065,527,182,262.25/2,114,649
  6. Step 6: Final answer
    x = 4,759,904.45

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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.