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Finding the Third Proportional to 1,360,824 and 2,929,656

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Solution

The third proportional to 1,360,824 and 2,929,656 is: 6,307,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,824 : 2,929,656 = 2,929,656 : x
  2. Step 2: Convert to fraction form
    1,360,824/2,929,656 = 2,929,656/x
  3. Step 3: Cross multiply
    1,360,824x = 2,929,656 × 2,929,656
  4. Step 4: Simplify right side
    1,360,824x = 8,582,884,278,336
  5. Step 5: Solve for x
    x = 8,582,884,278,336/1,360,824
  6. Step 6: Final answer
    x = 6,307,122.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.