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Finding the Third Proportional to 722,049,032 and 1,100,003,340

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Solution

The third proportional to 722,049,032 and 1,100,003,340 is: 1,675,796,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,049,032 : 1,100,003,340 = 1,100,003,340 : x
  2. Step 2: Convert to fraction form
    722,049,032/1,100,003,340 = 1,100,003,340/x
  3. Step 3: Cross multiply
    722,049,032x = 1,100,003,340 × 1,100,003,340
  4. Step 4: Simplify right side
    722,049,032x = 1,210,007,348,011,155,712
  5. Step 5: Solve for x
    x = 1,210,007,348,011,155,712/722,049,032
  6. Step 6: Final answer
    x = 1,675,796,648.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.