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Finding the Third Proportional to 864,135 and 1,893,575.25

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Solution

The third proportional to 864,135 and 1,893,575.25 is: 4,149,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,135 : 1,893,575.25 = 1,893,575.25 : x
  2. Step 2: Convert to fraction form
    864,135/1,893,575.25 = 1,893,575.25/x
  3. Step 3: Cross multiply
    864,135x = 1,893,575.25 × 1,893,575.25
  4. Step 4: Simplify right side
    864,135x = 3,585,627,227,412.56
  5. Step 5: Solve for x
    x = 3,585,627,227,412.56/864,135
  6. Step 6: Final answer
    x = 4,149,383.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.