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Finding the Third Proportional to 776,509,878 and 1,092,213,009

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Solution

The third proportional to 776,509,878 and 1,092,213,009 is: 1,536,270,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,509,878 : 1,092,213,009 = 1,092,213,009 : x
  2. Step 2: Convert to fraction form
    776,509,878/1,092,213,009 = 1,092,213,009/x
  3. Step 3: Cross multiply
    776,509,878x = 1,092,213,009 × 1,092,213,009
  4. Step 4: Simplify right side
    776,509,878x = 1,192,929,257,028,834,048
  5. Step 5: Solve for x
    x = 1,192,929,257,028,834,048/776,509,878
  6. Step 6: Final answer
    x = 1,536,270,549.58

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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.