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Finding the Third Proportional to 786,510.25 and 1,723,083.25

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Solution

The third proportional to 786,510.25 and 1,723,083.25 is: 3,774,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,510.25 : 1,723,083.25 = 1,723,083.25 : x
  2. Step 2: Convert to fraction form
    786,510.25/1,723,083.25 = 1,723,083.25/x
  3. Step 3: Cross multiply
    786,510.25x = 1,723,083.25 × 1,723,083.25
  4. Step 4: Simplify right side
    786,510.25x = 2,969,015,886,430.56
  5. Step 5: Solve for x
    x = 2,969,015,886,430.56/786,510.25
  6. Step 6: Final answer
    x = 3,774,923.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.