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Finding the Third Proportional to 632,961 and 1,364,904

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Solution

The third proportional to 632,961 and 1,364,904 is: 2,943,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,961 : 1,364,904 = 1,364,904 : x
  2. Step 2: Convert to fraction form
    632,961/1,364,904 = 1,364,904/x
  3. Step 3: Cross multiply
    632,961x = 1,364,904 × 1,364,904
  4. Step 4: Simplify right side
    632,961x = 1,862,962,929,216
  5. Step 5: Solve for x
    x = 1,862,962,929,216/632,961
  6. Step 6: Final answer
    x = 2,943,250.74

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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.