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Finding the Third Proportional to 605,944,971 and 1,308,744,828

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Solution

The third proportional to 605,944,971 and 1,308,744,828 is: 2,826,680,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,944,971 : 1,308,744,828 = 1,308,744,828 : x
  2. Step 2: Convert to fraction form
    605,944,971/1,308,744,828 = 1,308,744,828/x
  3. Step 3: Cross multiply
    605,944,971x = 1,308,744,828 × 1,308,744,828
  4. Step 4: Simplify right side
    605,944,971x = 1,712,813,024,816,749,568
  5. Step 5: Solve for x
    x = 1,712,813,024,816,749,568/605,944,971
  6. Step 6: Final answer
    x = 2,826,680,815.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.