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Finding the Third Proportional to 652,719 and 1,012,794

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Solution

The third proportional to 652,719 and 1,012,794 is: 1,571,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,719 : 1,012,794 = 1,012,794 : x
  2. Step 2: Convert to fraction form
    652,719/1,012,794 = 1,012,794/x
  3. Step 3: Cross multiply
    652,719x = 1,012,794 × 1,012,794
  4. Step 4: Simplify right side
    652,719x = 1,025,751,686,436
  5. Step 5: Solve for x
    x = 1,025,751,686,436/652,719
  6. Step 6: Final answer
    x = 1,571,505.79

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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.