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Finding the Third Proportional to 576,976 and 1,497,799

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Solution

The third proportional to 576,976 and 1,497,799 is: 3,888,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,976 : 1,497,799 = 1,497,799 : x
  2. Step 2: Convert to fraction form
    576,976/1,497,799 = 1,497,799/x
  3. Step 3: Cross multiply
    576,976x = 1,497,799 × 1,497,799
  4. Step 4: Simplify right side
    576,976x = 2,243,401,844,401
  5. Step 5: Solve for x
    x = 2,243,401,844,401/576,976
  6. Step 6: Final answer
    x = 3,888,206.52

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.