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Finding the Third Proportional to 866,348 and 1,395,768

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Solution

The third proportional to 866,348 and 1,395,768 is: 2,248,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,348 : 1,395,768 = 1,395,768 : x
  2. Step 2: Convert to fraction form
    866,348/1,395,768 = 1,395,768/x
  3. Step 3: Cross multiply
    866,348x = 1,395,768 × 1,395,768
  4. Step 4: Simplify right side
    866,348x = 1,948,168,309,824
  5. Step 5: Solve for x
    x = 1,948,168,309,824/866,348
  6. Step 6: Final answer
    x = 2,248,713.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.