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Finding the Third Proportional to 774,216 and 1,579,536

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Solution

The third proportional to 774,216 and 1,579,536 is: 3,222,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,216 : 1,579,536 = 1,579,536 : x
  2. Step 2: Convert to fraction form
    774,216/1,579,536 = 1,579,536/x
  3. Step 3: Cross multiply
    774,216x = 1,579,536 × 1,579,536
  4. Step 4: Simplify right side
    774,216x = 2,494,933,975,296
  5. Step 5: Solve for x
    x = 2,494,933,975,296/774,216
  6. Step 6: Final answer
    x = 3,222,529.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.