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Finding the Third Proportional to 812,963.50 and 1,207,653

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Solution

The third proportional to 812,963.50 and 1,207,653 is: 1,793,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,963.50 : 1,207,653 = 1,207,653 : x
  2. Step 2: Convert to fraction form
    812,963.50/1,207,653 = 1,207,653/x
  3. Step 3: Cross multiply
    812,963.50x = 1,207,653 × 1,207,653
  4. Step 4: Simplify right side
    812,963.50x = 1,458,425,768,409
  5. Step 5: Solve for x
    x = 1,458,425,768,409/812,963.50
  6. Step 6: Final answer
    x = 1,793,962.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.