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Finding the Third Proportional to 643,700.39 and 945,844.59

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Solution

The third proportional to 643,700.39 and 945,844.59 is: 1,389,811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,700.39 : 945,844.59 = 945,844.59 : x
  2. Step 2: Convert to fraction form
    643,700.39/945,844.59 = 945,844.59/x
  3. Step 3: Cross multiply
    643,700.39x = 945,844.59 × 945,844.59
  4. Step 4: Simplify right side
    643,700.39x = 894,621,995,526.10
  5. Step 5: Solve for x
    x = 894,621,995,526.10/643,700.39
  6. Step 6: Final answer
    x = 1,389,811.17

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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.