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Finding the Third Proportional to 503,384,287 and 1,186,616,741

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Solution

The third proportional to 503,384,287 and 1,186,616,741 is: 2,797,185,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,384,287 : 1,186,616,741 = 1,186,616,741 : x
  2. Step 2: Convert to fraction form
    503,384,287/1,186,616,741 = 1,186,616,741/x
  3. Step 3: Cross multiply
    503,384,287x = 1,186,616,741 × 1,186,616,741
  4. Step 4: Simplify right side
    503,384,287x = 1,408,059,290,021,460,992
  5. Step 5: Solve for x
    x = 1,408,059,290,021,460,992/503,384,287
  6. Step 6: Final answer
    x = 2,797,185,622.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.