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Finding the Third Proportional to 420,147 and 921,928.50

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Solution

The third proportional to 420,147 and 921,928.50 is: 2,022,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,147 : 921,928.50 = 921,928.50 : x
  2. Step 2: Convert to fraction form
    420,147/921,928.50 = 921,928.50/x
  3. Step 3: Cross multiply
    420,147x = 921,928.50 × 921,928.50
  4. Step 4: Simplify right side
    420,147x = 849,952,159,112.25
  5. Step 5: Solve for x
    x = 849,952,159,112.25/420,147
  6. Step 6: Final answer
    x = 2,022,987.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.