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Finding the Third Proportional to 945,867 and 2,075,685

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Solution

The third proportional to 945,867 and 2,075,685 is: 4,555,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,867 : 2,075,685 = 2,075,685 : x
  2. Step 2: Convert to fraction form
    945,867/2,075,685 = 2,075,685/x
  3. Step 3: Cross multiply
    945,867x = 2,075,685 × 2,075,685
  4. Step 4: Simplify right side
    945,867x = 4,308,468,219,225
  5. Step 5: Solve for x
    x = 4,308,468,219,225/945,867
  6. Step 6: Final answer
    x = 4,555,046.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.