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Finding the Third Proportional to 643,870.27 and 1,024,908.19

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Solution

The third proportional to 643,870.27 and 1,024,908.19 is: 1,631,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,870.27 : 1,024,908.19 = 1,024,908.19 : x
  2. Step 2: Convert to fraction form
    643,870.27/1,024,908.19 = 1,024,908.19/x
  3. Step 3: Cross multiply
    643,870.27x = 1,024,908.19 × 1,024,908.19
  4. Step 4: Simplify right side
    643,870.27x = 1,050,436,792,804.54
  5. Step 5: Solve for x
    x = 1,050,436,792,804.54/643,870.27
  6. Step 6: Final answer
    x = 1,631,441.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.