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Finding the Third Proportional to 523,980 and 1,069,944

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Solution

The third proportional to 523,980 and 1,069,944 is: 2,184,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,980 : 1,069,944 = 1,069,944 : x
  2. Step 2: Convert to fraction form
    523,980/1,069,944 = 1,069,944/x
  3. Step 3: Cross multiply
    523,980x = 1,069,944 × 1,069,944
  4. Step 4: Simplify right side
    523,980x = 1,144,780,163,136
  5. Step 5: Solve for x
    x = 1,144,780,163,136/523,980
  6. Step 6: Final answer
    x = 2,184,778.36

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.