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Finding the Third Proportional to 413,098 and 907,494

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Solution

The third proportional to 413,098 and 907,494 is: 1,993,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,098 : 907,494 = 907,494 : x
  2. Step 2: Convert to fraction form
    413,098/907,494 = 907,494/x
  3. Step 3: Cross multiply
    413,098x = 907,494 × 907,494
  4. Step 4: Simplify right side
    413,098x = 823,545,360,036
  5. Step 5: Solve for x
    x = 823,545,360,036/413,098
  6. Step 6: Final answer
    x = 1,993,583.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.