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Finding the Third Proportional to 856,959,413 and 1,206,787,693

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Solution

The third proportional to 856,959,413 and 1,206,787,693 is: 1,699,422,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,959,413 : 1,206,787,693 = 1,206,787,693 : x
  2. Step 2: Convert to fraction form
    856,959,413/1,206,787,693 = 1,206,787,693/x
  3. Step 3: Cross multiply
    856,959,413x = 1,206,787,693 × 1,206,787,693
  4. Step 4: Simplify right side
    856,959,413x = 1,456,336,535,976,262,144
  5. Step 5: Solve for x
    x = 1,456,336,535,976,262,144/856,959,413
  6. Step 6: Final answer
    x = 1,699,422,999.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.