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Finding the Third Proportional to 856,959,437 and 1,206,787,724

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Solution

The third proportional to 856,959,437 and 1,206,787,724 is: 1,699,423,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,959,437 : 1,206,787,724 = 1,206,787,724 : x
  2. Step 2: Convert to fraction form
    856,959,437/1,206,787,724 = 1,206,787,724/x
  3. Step 3: Cross multiply
    856,959,437x = 1,206,787,724 × 1,206,787,724
  4. Step 4: Simplify right side
    856,959,437x = 1,456,336,610,797,100,288
  5. Step 5: Solve for x
    x = 1,456,336,610,797,100,288/856,959,437
  6. Step 6: Final answer
    x = 1,699,423,039.08

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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.