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Finding the Third Proportional to 1,128,589,767 and 1,743,206,793

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Solution

The third proportional to 1,128,589,767 and 1,743,206,793 is: 2,692,537,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128,589,767 : 1,743,206,793 = 1,743,206,793 : x
  2. Step 2: Convert to fraction form
    1,128,589,767/1,743,206,793 = 1,743,206,793/x
  3. Step 3: Cross multiply
    1,128,589,767x = 1,743,206,793 × 1,743,206,793
  4. Step 4: Simplify right side
    1,128,589,767x = 3,038,769,923,161,345,024
  5. Step 5: Solve for x
    x = 3,038,769,923,161,345,024/1,128,589,767
  6. Step 6: Final answer
    x = 2,692,537,192.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.