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Finding the Third Proportional to 1,001,678,120 and 1,384,129,842

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Solution

The third proportional to 1,001,678,120 and 1,384,129,842 is: 1,912,605,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,678,120 : 1,384,129,842 = 1,384,129,842 : x
  2. Step 2: Convert to fraction form
    1,001,678,120/1,384,129,842 = 1,384,129,842/x
  3. Step 3: Cross multiply
    1,001,678,120x = 1,384,129,842 × 1,384,129,842
  4. Step 4: Simplify right side
    1,001,678,120x = 1,915,815,419,514,945,024
  5. Step 5: Solve for x
    x = 1,915,815,419,514,945,024/1,001,678,120
  6. Step 6: Final answer
    x = 1,912,605,837.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.