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Finding the Third Proportional to 1,604,986,589 and 2,260,174,795

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Solution

The third proportional to 1,604,986,589 and 2,260,174,795 is: 3,182,824,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,986,589 : 2,260,174,795 = 2,260,174,795 : x
  2. Step 2: Convert to fraction form
    1,604,986,589/2,260,174,795 = 2,260,174,795/x
  3. Step 3: Cross multiply
    1,604,986,589x = 2,260,174,795 × 2,260,174,795
  4. Step 4: Simplify right side
    1,604,986,589x = 5,108,390,103,953,292,288
  5. Step 5: Solve for x
    x = 5,108,390,103,953,292,288/1,604,986,589
  6. Step 6: Final answer
    x = 3,182,824,167.48

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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.