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Finding the Third Proportional to 510,849 and 1,110,123

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Solution

The third proportional to 510,849 and 1,110,123 is: 2,412,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,849 : 1,110,123 = 1,110,123 : x
  2. Step 2: Convert to fraction form
    510,849/1,110,123 = 1,110,123/x
  3. Step 3: Cross multiply
    510,849x = 1,110,123 × 1,110,123
  4. Step 4: Simplify right side
    510,849x = 1,232,373,075,129
  5. Step 5: Solve for x
    x = 1,232,373,075,129/510,849
  6. Step 6: Final answer
    x = 2,412,401.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.