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Finding the Third Proportional to 590,833,396 and 1,367,673,562

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Solution

The third proportional to 590,833,396 and 1,367,673,562 is: 3,165,919,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,833,396 : 1,367,673,562 = 1,367,673,562 : x
  2. Step 2: Convert to fraction form
    590,833,396/1,367,673,562 = 1,367,673,562/x
  3. Step 3: Cross multiply
    590,833,396x = 1,367,673,562 × 1,367,673,562
  4. Step 4: Simplify right side
    590,833,396x = 1,870,530,972,193,767,936
  5. Step 5: Solve for x
    x = 1,870,530,972,193,767,936/590,833,396
  6. Step 6: Final answer
    x = 3,165,919,504.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.