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Finding the Third Proportional to 810,784 and 1,739,644

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Solution

The third proportional to 810,784 and 1,739,644 is: 3,732,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,784 : 1,739,644 = 1,739,644 : x
  2. Step 2: Convert to fraction form
    810,784/1,739,644 = 1,739,644/x
  3. Step 3: Cross multiply
    810,784x = 1,739,644 × 1,739,644
  4. Step 4: Simplify right side
    810,784x = 3,026,361,246,736
  5. Step 5: Solve for x
    x = 3,026,361,246,736/810,784
  6. Step 6: Final answer
    x = 3,732,635.63

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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.