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Finding the Third Proportional to 414,944 and 908,028

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Solution

The third proportional to 414,944 and 908,028 is: 1,987,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,944 : 908,028 = 908,028 : x
  2. Step 2: Convert to fraction form
    414,944/908,028 = 908,028/x
  3. Step 3: Cross multiply
    414,944x = 908,028 × 908,028
  4. Step 4: Simplify right side
    414,944x = 824,514,848,784
  5. Step 5: Solve for x
    x = 824,514,848,784/414,944
  6. Step 6: Final answer
    x = 1,987,050.90

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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.