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Finding the Third Proportional to 583,666 and 1,278,049

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Solution

The third proportional to 583,666 and 1,278,049 is: 2,798,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,666 : 1,278,049 = 1,278,049 : x
  2. Step 2: Convert to fraction form
    583,666/1,278,049 = 1,278,049/x
  3. Step 3: Cross multiply
    583,666x = 1,278,049 × 1,278,049
  4. Step 4: Simplify right side
    583,666x = 1,633,409,246,401
  5. Step 5: Solve for x
    x = 1,633,409,246,401/583,666
  6. Step 6: Final answer
    x = 2,798,534.17

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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.