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Finding the Third Proportional to 816,122.25 and 1,267,970.63

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Solution

The third proportional to 816,122.25 and 1,267,970.63 is: 1,969,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,122.25 : 1,267,970.63 = 1,267,970.63 : x
  2. Step 2: Convert to fraction form
    816,122.25/1,267,970.63 = 1,267,970.63/x
  3. Step 3: Cross multiply
    816,122.25x = 1,267,970.63 × 1,267,970.63
  4. Step 4: Simplify right side
    816,122.25x = 1,607,749,505,862.89
  5. Step 5: Solve for x
    x = 1,607,749,505,862.89/816,122.25
  6. Step 6: Final answer
    x = 1,969,986.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.