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Finding the Third Proportional to 2,709,816.75 and 3,962,947.50

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Solution

The third proportional to 2,709,816.75 and 3,962,947.50 is: 5,795,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,816.75 : 3,962,947.50 = 3,962,947.50 : x
  2. Step 2: Convert to fraction form
    2,709,816.75/3,962,947.50 = 3,962,947.50/x
  3. Step 3: Cross multiply
    2,709,816.75x = 3,962,947.50 × 3,962,947.50
  4. Step 4: Simplify right side
    2,709,816.75x = 15,704,952,887,756.25
  5. Step 5: Solve for x
    x = 15,704,952,887,756.25/2,709,816.75
  6. Step 6: Final answer
    x = 5,795,577.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.