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Finding the Third Proportional to 592,905,660 and 1,287,876,692

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Solution

The third proportional to 592,905,660 and 1,287,876,692 is: 2,797,454,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,905,660 : 1,287,876,692 = 1,287,876,692 : x
  2. Step 2: Convert to fraction form
    592,905,660/1,287,876,692 = 1,287,876,692/x
  3. Step 3: Cross multiply
    592,905,660x = 1,287,876,692 × 1,287,876,692
  4. Step 4: Simplify right side
    592,905,660x = 1,658,626,373,796,862,976
  5. Step 5: Solve for x
    x = 1,658,626,373,796,862,976/592,905,660
  6. Step 6: Final answer
    x = 2,797,454,107.28

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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.