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Finding the Third Proportional to 585,716 and 884,814

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Solution

The third proportional to 585,716 and 884,814 is: 1,336,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,716 : 884,814 = 884,814 : x
  2. Step 2: Convert to fraction form
    585,716/884,814 = 884,814/x
  3. Step 3: Cross multiply
    585,716x = 884,814 × 884,814
  4. Step 4: Simplify right side
    585,716x = 782,895,814,596
  5. Step 5: Solve for x
    x = 782,895,814,596/585,716
  6. Step 6: Final answer
    x = 1,336,647.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.