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Finding the Third Proportional to 577,623 and 1,266,846

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Solution

The third proportional to 577,623 and 1,266,846 is: 2,778,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,623 : 1,266,846 = 1,266,846 : x
  2. Step 2: Convert to fraction form
    577,623/1,266,846 = 1,266,846/x
  3. Step 3: Cross multiply
    577,623x = 1,266,846 × 1,266,846
  4. Step 4: Simplify right side
    577,623x = 1,604,898,787,716
  5. Step 5: Solve for x
    x = 1,604,898,787,716/577,623
  6. Step 6: Final answer
    x = 2,778,453.75

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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.