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Finding the Third Proportional to 449,523 and 963,022.50

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Solution

The third proportional to 449,523 and 963,022.50 is: 2,063,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,523 : 963,022.50 = 963,022.50 : x
  2. Step 2: Convert to fraction form
    449,523/963,022.50 = 963,022.50/x
  3. Step 3: Cross multiply
    449,523x = 963,022.50 × 963,022.50
  4. Step 4: Simplify right side
    449,523x = 927,412,335,506.25
  5. Step 5: Solve for x
    x = 927,412,335,506.25/449,523
  6. Step 6: Final answer
    x = 2,063,103.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.