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Finding the Third Proportional to 869,384.25 and 1,893,399.75

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Solution

The third proportional to 869,384.25 and 1,893,399.75 is: 4,123,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,384.25 : 1,893,399.75 = 1,893,399.75 : x
  2. Step 2: Convert to fraction form
    869,384.25/1,893,399.75 = 1,893,399.75/x
  3. Step 3: Cross multiply
    869,384.25x = 1,893,399.75 × 1,893,399.75
  4. Step 4: Simplify right side
    869,384.25x = 3,584,962,613,300.06
  5. Step 5: Solve for x
    x = 3,584,962,613,300.06/869,384.25
  6. Step 6: Final answer
    x = 4,123,565.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.