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Finding the Third Proportional to 469,606.50 and 1,023,048

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Solution

The third proportional to 469,606.50 and 1,023,048 is: 2,228,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,606.50 : 1,023,048 = 1,023,048 : x
  2. Step 2: Convert to fraction form
    469,606.50/1,023,048 = 1,023,048/x
  3. Step 3: Cross multiply
    469,606.50x = 1,023,048 × 1,023,048
  4. Step 4: Simplify right side
    469,606.50x = 1,046,627,210,304
  5. Step 5: Solve for x
    x = 1,046,627,210,304/469,606.50
  6. Step 6: Final answer
    x = 2,228,732.38

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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.