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Finding the Third Proportional to 577,596 and 1,266,788

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Solution

The third proportional to 577,596 and 1,266,788 is: 2,778,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,596 : 1,266,788 = 1,266,788 : x
  2. Step 2: Convert to fraction form
    577,596/1,266,788 = 1,266,788/x
  3. Step 3: Cross multiply
    577,596x = 1,266,788 × 1,266,788
  4. Step 4: Simplify right side
    577,596x = 1,604,751,836,944
  5. Step 5: Solve for x
    x = 1,604,751,836,944/577,596
  6. Step 6: Final answer
    x = 2,778,329.21

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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.