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Finding the Third Proportional to 814,424 and 1,753,720

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Solution

The third proportional to 814,424 and 1,753,720 is: 3,776,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,424 : 1,753,720 = 1,753,720 : x
  2. Step 2: Convert to fraction form
    814,424/1,753,720 = 1,753,720/x
  3. Step 3: Cross multiply
    814,424x = 1,753,720 × 1,753,720
  4. Step 4: Simplify right side
    814,424x = 3,075,533,838,400
  5. Step 5: Solve for x
    x = 3,075,533,838,400/814,424
  6. Step 6: Final answer
    x = 3,776,330.07

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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.