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Finding the Third Proportional to 805,154 and 1,736,412

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Solution

The third proportional to 805,154 and 1,736,412 is: 3,744,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,154 : 1,736,412 = 1,736,412 : x
  2. Step 2: Convert to fraction form
    805,154/1,736,412 = 1,736,412/x
  3. Step 3: Cross multiply
    805,154x = 1,736,412 × 1,736,412
  4. Step 4: Simplify right side
    805,154x = 3,015,126,633,744
  5. Step 5: Solve for x
    x = 3,015,126,633,744/805,154
  6. Step 6: Final answer
    x = 3,744,782.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.