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Finding the Third Proportional to 442,989 and 967,180.50

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Solution

The third proportional to 442,989 and 967,180.50 is: 2,111,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,989 : 967,180.50 = 967,180.50 : x
  2. Step 2: Convert to fraction form
    442,989/967,180.50 = 967,180.50/x
  3. Step 3: Cross multiply
    442,989x = 967,180.50 × 967,180.50
  4. Step 4: Simplify right side
    442,989x = 935,438,119,580.25
  5. Step 5: Solve for x
    x = 935,438,119,580.25/442,989
  6. Step 6: Final answer
    x = 2,111,650.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.