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Finding the Third Proportional to 412,662 and 904,058

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Solution

The third proportional to 412,662 and 904,058 is: 1,980,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,662 : 904,058 = 904,058 : x
  2. Step 2: Convert to fraction form
    412,662/904,058 = 904,058/x
  3. Step 3: Cross multiply
    412,662x = 904,058 × 904,058
  4. Step 4: Simplify right side
    412,662x = 817,320,867,364
  5. Step 5: Solve for x
    x = 817,320,867,364/412,662
  6. Step 6: Final answer
    x = 1,980,606.08

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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.