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Finding the Third Proportional to 680,871 and 1,024,243.50

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Solution

The third proportional to 680,871 and 1,024,243.50 is: 1,540,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,871 : 1,024,243.50 = 1,024,243.50 : x
  2. Step 2: Convert to fraction form
    680,871/1,024,243.50 = 1,024,243.50/x
  3. Step 3: Cross multiply
    680,871x = 1,024,243.50 × 1,024,243.50
  4. Step 4: Simplify right side
    680,871x = 1,049,074,747,292.25
  5. Step 5: Solve for x
    x = 1,049,074,747,292.25/680,871
  6. Step 6: Final answer
    x = 1,540,783.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.