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Finding the Third Proportional to 821,796 and 1,793,076

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Solution

The third proportional to 821,796 and 1,793,076 is: 3,912,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,796 : 1,793,076 = 1,793,076 : x
  2. Step 2: Convert to fraction form
    821,796/1,793,076 = 1,793,076/x
  3. Step 3: Cross multiply
    821,796x = 1,793,076 × 1,793,076
  4. Step 4: Simplify right side
    821,796x = 3,215,121,541,776
  5. Step 5: Solve for x
    x = 3,215,121,541,776/821,796
  6. Step 6: Final answer
    x = 3,912,311.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.