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Finding the Third Proportional to 563,914 and 1,220,756

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Solution

The third proportional to 563,914 and 1,220,756 is: 2,642,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,914 : 1,220,756 = 1,220,756 : x
  2. Step 2: Convert to fraction form
    563,914/1,220,756 = 1,220,756/x
  3. Step 3: Cross multiply
    563,914x = 1,220,756 × 1,220,756
  4. Step 4: Simplify right side
    563,914x = 1,490,245,211,536
  5. Step 5: Solve for x
    x = 1,490,245,211,536/563,914
  6. Step 6: Final answer
    x = 2,642,681.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.