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Finding the Third Proportional to 518,806 and 952,364

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Solution

The third proportional to 518,806 and 952,364 is: 1,748,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,806 : 952,364 = 952,364 : x
  2. Step 2: Convert to fraction form
    518,806/952,364 = 952,364/x
  3. Step 3: Cross multiply
    518,806x = 952,364 × 952,364
  4. Step 4: Simplify right side
    518,806x = 906,997,188,496
  5. Step 5: Solve for x
    x = 906,997,188,496/518,806
  6. Step 6: Final answer
    x = 1,748,239.59

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.