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Finding the Third Proportional to 684,007.03 and 1,484,836.31

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Solution

The third proportional to 684,007.03 and 1,484,836.31 is: 3,223,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,007.03 : 1,484,836.31 = 1,484,836.31 : x
  2. Step 2: Convert to fraction form
    684,007.03/1,484,836.31 = 1,484,836.31/x
  3. Step 3: Cross multiply
    684,007.03x = 1,484,836.31 × 1,484,836.31
  4. Step 4: Simplify right side
    684,007.03x = 2,204,738,874,918.60
  5. Step 5: Solve for x
    x = 2,204,738,874,918.60/684,007.03
  6. Step 6: Final answer
    x = 3,223,269.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.