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Finding the Third Proportional to 468,111 and 1,008,535.50

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Solution

The third proportional to 468,111 and 1,008,535.50 is: 2,172,868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,111 : 1,008,535.50 = 1,008,535.50 : x
  2. Step 2: Convert to fraction form
    468,111/1,008,535.50 = 1,008,535.50/x
  3. Step 3: Cross multiply
    468,111x = 1,008,535.50 × 1,008,535.50
  4. Step 4: Simplify right side
    468,111x = 1,017,143,854,760.25
  5. Step 5: Solve for x
    x = 1,017,143,854,760.25/468,111
  6. Step 6: Final answer
    x = 2,172,868.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.