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Finding the Third Proportional to 413,954 and 907,396

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Solution

The third proportional to 413,954 and 907,396 is: 1,989,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,954 : 907,396 = 907,396 : x
  2. Step 2: Convert to fraction form
    413,954/907,396 = 907,396/x
  3. Step 3: Cross multiply
    413,954x = 907,396 × 907,396
  4. Step 4: Simplify right side
    413,954x = 823,367,500,816
  5. Step 5: Solve for x
    x = 823,367,500,816/413,954
  6. Step 6: Final answer
    x = 1,989,031.39

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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.