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Finding the Third Proportional to 620,286 and 983,814

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Solution

The third proportional to 620,286 and 983,814 is: 1,560,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,286 : 983,814 = 983,814 : x
  2. Step 2: Convert to fraction form
    620,286/983,814 = 983,814/x
  3. Step 3: Cross multiply
    620,286x = 983,814 × 983,814
  4. Step 4: Simplify right side
    620,286x = 967,889,986,596
  5. Step 5: Solve for x
    x = 967,889,986,596/620,286
  6. Step 6: Final answer
    x = 1,560,393.09

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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.