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Finding the Third Proportional to 701,956.13 and 1,026,609.19

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Solution

The third proportional to 701,956.13 and 1,026,609.19 is: 1,501,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,956.13 : 1,026,609.19 = 1,026,609.19 : x
  2. Step 2: Convert to fraction form
    701,956.13/1,026,609.19 = 1,026,609.19/x
  3. Step 3: Cross multiply
    701,956.13x = 1,026,609.19 × 1,026,609.19
  4. Step 4: Simplify right side
    701,956.13x = 1,053,926,423,859.41
  5. Step 5: Solve for x
    x = 1,053,926,423,859.41/701,956.13
  6. Step 6: Final answer
    x = 1,501,413.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.