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Finding the Third Proportional to 777,585.75 and 1,704,637.50

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Solution

The third proportional to 777,585.75 and 1,704,637.50 is: 3,736,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,585.75 : 1,704,637.50 = 1,704,637.50 : x
  2. Step 2: Convert to fraction form
    777,585.75/1,704,637.50 = 1,704,637.50/x
  3. Step 3: Cross multiply
    777,585.75x = 1,704,637.50 × 1,704,637.50
  4. Step 4: Simplify right side
    777,585.75x = 2,905,789,006,406.25
  5. Step 5: Solve for x
    x = 2,905,789,006,406.25/777,585.75
  6. Step 6: Final answer
    x = 3,736,937.06

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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.