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Finding the Third Proportional to 1,096,133,058 and 1,583,722,971

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Solution

The third proportional to 1,096,133,058 and 1,583,722,971 is: 2,288,206,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,133,058 : 1,583,722,971 = 1,583,722,971 : x
  2. Step 2: Convert to fraction form
    1,096,133,058/1,583,722,971 = 1,583,722,971/x
  3. Step 3: Cross multiply
    1,096,133,058x = 1,583,722,971 × 1,583,722,971
  4. Step 4: Simplify right side
    1,096,133,058x = 2,508,178,448,873,067,008
  5. Step 5: Solve for x
    x = 2,508,178,448,873,067,008/1,096,133,058
  6. Step 6: Final answer
    x = 2,288,206,190.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.