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Finding the Third Proportional to 945,896 and 2,075,743

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Solution

The third proportional to 945,896 and 2,075,743 is: 4,555,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,896 : 2,075,743 = 2,075,743 : x
  2. Step 2: Convert to fraction form
    945,896/2,075,743 = 2,075,743/x
  3. Step 3: Cross multiply
    945,896x = 2,075,743 × 2,075,743
  4. Step 4: Simplify right side
    945,896x = 4,308,709,002,049
  5. Step 5: Solve for x
    x = 4,308,709,002,049/945,896
  6. Step 6: Final answer
    x = 4,555,161.46

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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.