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Finding the Third Proportional to 779,856 and 1,620,984

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Solution

The third proportional to 779,856 and 1,620,984 is: 3,369,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,856 : 1,620,984 = 1,620,984 : x
  2. Step 2: Convert to fraction form
    779,856/1,620,984 = 1,620,984/x
  3. Step 3: Cross multiply
    779,856x = 1,620,984 × 1,620,984
  4. Step 4: Simplify right side
    779,856x = 2,627,589,128,256
  5. Step 5: Solve for x
    x = 2,627,589,128,256/779,856
  6. Step 6: Final answer
    x = 3,369,326.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.