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Finding the Third Proportional to 590,544 and 937,656

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Solution

The third proportional to 590,544 and 937,656 is: 1,488,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,544 : 937,656 = 937,656 : x
  2. Step 2: Convert to fraction form
    590,544/937,656 = 937,656/x
  3. Step 3: Cross multiply
    590,544x = 937,656 × 937,656
  4. Step 4: Simplify right side
    590,544x = 879,198,774,336
  5. Step 5: Solve for x
    x = 879,198,774,336/590,544
  6. Step 6: Final answer
    x = 1,488,794.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.