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Finding the Third Proportional to 1,075,750 and 2,317,475

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Solution

The third proportional to 1,075,750 and 2,317,475 is: 4,992,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,750 : 2,317,475 = 2,317,475 : x
  2. Step 2: Convert to fraction form
    1,075,750/2,317,475 = 2,317,475/x
  3. Step 3: Cross multiply
    1,075,750x = 2,317,475 × 2,317,475
  4. Step 4: Simplify right side
    1,075,750x = 5,370,690,375,625
  5. Step 5: Solve for x
    x = 5,370,690,375,625/1,075,750
  6. Step 6: Final answer
    x = 4,992,507.90

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Why These Related Problems?

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