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Finding the Third Proportional to 520,866 and 1,105,706

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Solution

The third proportional to 520,866 and 1,105,706 is: 2,347,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,866 : 1,105,706 = 1,105,706 : x
  2. Step 2: Convert to fraction form
    520,866/1,105,706 = 1,105,706/x
  3. Step 3: Cross multiply
    520,866x = 1,105,706 × 1,105,706
  4. Step 4: Simplify right side
    520,866x = 1,222,585,758,436
  5. Step 5: Solve for x
    x = 1,222,585,758,436/520,866
  6. Step 6: Final answer
    x = 2,347,217.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.