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Finding the Third Proportional to 577,578 and 1,266,756

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Solution

The third proportional to 577,578 and 1,266,756 is: 2,778,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,578 : 1,266,756 = 1,266,756 : x
  2. Step 2: Convert to fraction form
    577,578/1,266,756 = 1,266,756/x
  3. Step 3: Cross multiply
    577,578x = 1,266,756 × 1,266,756
  4. Step 4: Simplify right side
    577,578x = 1,604,670,763,536
  5. Step 5: Solve for x
    x = 1,604,670,763,536/577,578
  6. Step 6: Final answer
    x = 2,778,275.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.