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Finding the Third Proportional to 414,394 and 907,832

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Solution

The third proportional to 414,394 and 907,832 is: 1,988,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,394 : 907,832 = 907,832 : x
  2. Step 2: Convert to fraction form
    414,394/907,832 = 907,832/x
  3. Step 3: Cross multiply
    414,394x = 907,832 × 907,832
  4. Step 4: Simplify right side
    414,394x = 824,158,940,224
  5. Step 5: Solve for x
    x = 824,158,940,224/414,394
  6. Step 6: Final answer
    x = 1,988,829.33

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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.