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Finding the Third Proportional to 1,144,574.25 and 1,771,464

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Solution

The third proportional to 1,144,574.25 and 1,771,464 is: 2,741,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,574.25 : 1,771,464 = 1,771,464 : x
  2. Step 2: Convert to fraction form
    1,144,574.25/1,771,464 = 1,771,464/x
  3. Step 3: Cross multiply
    1,144,574.25x = 1,771,464 × 1,771,464
  4. Step 4: Simplify right side
    1,144,574.25x = 3,138,084,703,296
  5. Step 5: Solve for x
    x = 3,138,084,703,296/1,144,574.25
  6. Step 6: Final answer
    x = 2,741,704.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.