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Finding the Third Proportional to 643,200.75 and 1,371,816

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Solution

The third proportional to 643,200.75 and 1,371,816 is: 2,925,803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,200.75 : 1,371,816 = 1,371,816 : x
  2. Step 2: Convert to fraction form
    643,200.75/1,371,816 = 1,371,816/x
  3. Step 3: Cross multiply
    643,200.75x = 1,371,816 × 1,371,816
  4. Step 4: Simplify right side
    643,200.75x = 1,881,879,137,856
  5. Step 5: Solve for x
    x = 1,881,879,137,856/643,200.75
  6. Step 6: Final answer
    x = 2,925,803.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.