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Finding the Third Proportional to 948,722 and 2,074,420

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Solution

The third proportional to 948,722 and 2,074,420 is: 4,535,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,722 : 2,074,420 = 2,074,420 : x
  2. Step 2: Convert to fraction form
    948,722/2,074,420 = 2,074,420/x
  3. Step 3: Cross multiply
    948,722x = 2,074,420 × 2,074,420
  4. Step 4: Simplify right side
    948,722x = 4,303,218,336,400
  5. Step 5: Solve for x
    x = 4,303,218,336,400/948,722
  6. Step 6: Final answer
    x = 4,535,805.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.