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Finding the Third Proportional to 814,388 and 1,754,996

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Solution

The third proportional to 814,388 and 1,754,996 is: 3,781,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,388 : 1,754,996 = 1,754,996 : x
  2. Step 2: Convert to fraction form
    814,388/1,754,996 = 1,754,996/x
  3. Step 3: Cross multiply
    814,388x = 1,754,996 × 1,754,996
  4. Step 4: Simplify right side
    814,388x = 3,080,010,960,016
  5. Step 5: Solve for x
    x = 3,080,010,960,016/814,388
  6. Step 6: Final answer
    x = 3,781,994.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.