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Finding the Third Proportional to 585,822 and 937,696

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Solution

The third proportional to 585,822 and 937,696 is: 1,500,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,822 : 937,696 = 937,696 : x
  2. Step 2: Convert to fraction form
    585,822/937,696 = 937,696/x
  3. Step 3: Cross multiply
    585,822x = 937,696 × 937,696
  4. Step 4: Simplify right side
    585,822x = 879,273,788,416
  5. Step 5: Solve for x
    x = 879,273,788,416/585,822
  6. Step 6: Final answer
    x = 1,500,923.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.