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Finding the Third Proportional to 1,807,875 and 2,647,120.50

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Solution

The third proportional to 1,807,875 and 2,647,120.50 is: 3,875,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807,875 : 2,647,120.50 = 2,647,120.50 : x
  2. Step 2: Convert to fraction form
    1,807,875/2,647,120.50 = 2,647,120.50/x
  3. Step 3: Cross multiply
    1,807,875x = 2,647,120.50 × 2,647,120.50
  4. Step 4: Simplify right side
    1,807,875x = 7,007,246,941,520.25
  5. Step 5: Solve for x
    x = 7,007,246,941,520.25/1,807,875
  6. Step 6: Final answer
    x = 3,875,957.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.