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Finding the Third Proportional to 814,436 and 1,753,729

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Solution

The third proportional to 814,436 and 1,753,729 is: 3,776,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,436 : 1,753,729 = 1,753,729 : x
  2. Step 2: Convert to fraction form
    814,436/1,753,729 = 1,753,729/x
  3. Step 3: Cross multiply
    814,436x = 1,753,729 × 1,753,729
  4. Step 4: Simplify right side
    814,436x = 3,075,565,405,441
  5. Step 5: Solve for x
    x = 3,075,565,405,441/814,436
  6. Step 6: Final answer
    x = 3,776,313.19

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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.