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Finding the Third Proportional to 632,950 and 1,364,861

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Solution

The third proportional to 632,950 and 1,364,861 is: 2,943,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,950 : 1,364,861 = 1,364,861 : x
  2. Step 2: Convert to fraction form
    632,950/1,364,861 = 1,364,861/x
  3. Step 3: Cross multiply
    632,950x = 1,364,861 × 1,364,861
  4. Step 4: Simplify right side
    632,950x = 1,862,845,549,321
  5. Step 5: Solve for x
    x = 1,862,845,549,321/632,950
  6. Step 6: Final answer
    x = 2,943,116.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.