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Finding the Third Proportional to 814,308 and 1,608,178.50

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Solution

The third proportional to 814,308 and 1,608,178.50 is: 3,175,994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,308 : 1,608,178.50 = 1,608,178.50 : x
  2. Step 2: Convert to fraction form
    814,308/1,608,178.50 = 1,608,178.50/x
  3. Step 3: Cross multiply
    814,308x = 1,608,178.50 × 1,608,178.50
  4. Step 4: Simplify right side
    814,308x = 2,586,238,087,862.25
  5. Step 5: Solve for x
    x = 2,586,238,087,862.25/814,308
  6. Step 6: Final answer
    x = 3,175,994.94

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.