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Finding the Third Proportional to 510,857 and 1,110,130

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Solution

The third proportional to 510,857 and 1,110,130 is: 2,412,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,857 : 1,110,130 = 1,110,130 : x
  2. Step 2: Convert to fraction form
    510,857/1,110,130 = 1,110,130/x
  3. Step 3: Cross multiply
    510,857x = 1,110,130 × 1,110,130
  4. Step 4: Simplify right side
    510,857x = 1,232,388,616,900
  5. Step 5: Solve for x
    x = 1,232,388,616,900/510,857
  6. Step 6: Final answer
    x = 2,412,394.50

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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.