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Finding the Third Proportional to 776,359.13 and 1,689,405.75

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Solution

The third proportional to 776,359.13 and 1,689,405.75 is: 3,676,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,359.13 : 1,689,405.75 = 1,689,405.75 : x
  2. Step 2: Convert to fraction form
    776,359.13/1,689,405.75 = 1,689,405.75/x
  3. Step 3: Cross multiply
    776,359.13x = 1,689,405.75 × 1,689,405.75
  4. Step 4: Simplify right side
    776,359.13x = 2,854,091,788,133.06
  5. Step 5: Solve for x
    x = 2,854,091,788,133.06/776,359.13
  6. Step 6: Final answer
    x = 3,676,252.00

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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.