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Finding the Third Proportional to 814,295 and 1,070,796

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Solution

The third proportional to 814,295 and 1,070,796 is: 1,408,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,295 : 1,070,796 = 1,070,796 : x
  2. Step 2: Convert to fraction form
    814,295/1,070,796 = 1,070,796/x
  3. Step 3: Cross multiply
    814,295x = 1,070,796 × 1,070,796
  4. Step 4: Simplify right side
    814,295x = 1,146,604,073,616
  5. Step 5: Solve for x
    x = 1,146,604,073,616/814,295
  6. Step 6: Final answer
    x = 1,408,094.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.