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Finding the Third Proportional to 413,226 and 905,076

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Solution

The third proportional to 413,226 and 905,076 is: 1,982,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,226 : 905,076 = 905,076 : x
  2. Step 2: Convert to fraction form
    413,226/905,076 = 905,076/x
  3. Step 3: Cross multiply
    413,226x = 905,076 × 905,076
  4. Step 4: Simplify right side
    413,226x = 819,162,565,776
  5. Step 5: Solve for x
    x = 819,162,565,776/413,226
  6. Step 6: Final answer
    x = 1,982,359.69

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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.