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Finding the Third Proportional to 594,767,668 and 1,288,384,992

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Solution

The third proportional to 594,767,668 and 1,288,384,992 is: 2,790,897,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,767,668 : 1,288,384,992 = 1,288,384,992 : x
  2. Step 2: Convert to fraction form
    594,767,668/1,288,384,992 = 1,288,384,992/x
  3. Step 3: Cross multiply
    594,767,668x = 1,288,384,992 × 1,288,384,992
  4. Step 4: Simplify right side
    594,767,668x = 1,659,935,887,610,840,064
  5. Step 5: Solve for x
    x = 1,659,935,887,610,840,064/594,767,668
  6. Step 6: Final answer
    x = 2,790,897,987.43

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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.