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Finding the Third Proportional to 462,981.94 and 1,010,801.25

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Solution

The third proportional to 462,981.94 and 1,010,801.25 is: 2,206,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,981.94 : 1,010,801.25 = 1,010,801.25 : x
  2. Step 2: Convert to fraction form
    462,981.94/1,010,801.25 = 1,010,801.25/x
  3. Step 3: Cross multiply
    462,981.94x = 1,010,801.25 × 1,010,801.25
  4. Step 4: Simplify right side
    462,981.94x = 1,021,719,167,001.56
  5. Step 5: Solve for x
    x = 1,021,719,167,001.56/462,981.94
  6. Step 6: Final answer
    x = 2,206,822.95

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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.