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Finding the Third Proportional to 806,122.13 and 1,145,851.31

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Solution

The third proportional to 806,122.13 and 1,145,851.31 is: 1,628,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,122.13 : 1,145,851.31 = 1,145,851.31 : x
  2. Step 2: Convert to fraction form
    806,122.13/1,145,851.31 = 1,145,851.31/x
  3. Step 3: Cross multiply
    806,122.13x = 1,145,851.31 × 1,145,851.31
  4. Step 4: Simplify right side
    806,122.13x = 1,312,975,230,357.97
  5. Step 5: Solve for x
    x = 1,312,975,230,357.97/806,122.13
  6. Step 6: Final answer
    x = 1,628,754.74

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.