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Finding the Third Proportional to 787,536 and 1,211,976

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Solution

The third proportional to 787,536 and 1,211,976 is: 1,865,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,536 : 1,211,976 = 1,211,976 : x
  2. Step 2: Convert to fraction form
    787,536/1,211,976 = 1,211,976/x
  3. Step 3: Cross multiply
    787,536x = 1,211,976 × 1,211,976
  4. Step 4: Simplify right side
    787,536x = 1,468,885,824,576
  5. Step 5: Solve for x
    x = 1,468,885,824,576/787,536
  6. Step 6: Final answer
    x = 1,865,166.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.