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Finding the Third Proportional to 426,252 and 918,984

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Solution

The third proportional to 426,252 and 918,984 is: 1,981,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,252 : 918,984 = 918,984 : x
  2. Step 2: Convert to fraction form
    426,252/918,984 = 918,984/x
  3. Step 3: Cross multiply
    426,252x = 918,984 × 918,984
  4. Step 4: Simplify right side
    426,252x = 844,531,592,256
  5. Step 5: Solve for x
    x = 844,531,592,256/426,252
  6. Step 6: Final answer
    x = 1,981,296.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.