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Finding the Third Proportional to 643,195 and 945,532

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Solution

The third proportional to 643,195 and 945,532 is: 1,389,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,195 : 945,532 = 945,532 : x
  2. Step 2: Convert to fraction form
    643,195/945,532 = 945,532/x
  3. Step 3: Cross multiply
    643,195x = 945,532 × 945,532
  4. Step 4: Simplify right side
    643,195x = 894,030,763,024
  5. Step 5: Solve for x
    x = 894,030,763,024/643,195
  6. Step 6: Final answer
    x = 1,389,984.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.