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Finding the Third Proportional to 444,120 and 976,792.50

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Solution

The third proportional to 444,120 and 976,792.50 is: 2,148,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,120 : 976,792.50 = 976,792.50 : x
  2. Step 2: Convert to fraction form
    444,120/976,792.50 = 976,792.50/x
  3. Step 3: Cross multiply
    444,120x = 976,792.50 × 976,792.50
  4. Step 4: Simplify right side
    444,120x = 954,123,588,056.25
  5. Step 5: Solve for x
    x = 954,123,588,056.25/444,120
  6. Step 6: Final answer
    x = 2,148,346.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.