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Finding the Third Proportional to 705,538,632 and 1,096,876,785

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Solution

The third proportional to 705,538,632 and 1,096,876,785 is: 1,705,276,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,538,632 : 1,096,876,785 = 1,096,876,785 : x
  2. Step 2: Convert to fraction form
    705,538,632/1,096,876,785 = 1,096,876,785/x
  3. Step 3: Cross multiply
    705,538,632x = 1,096,876,785 × 1,096,876,785
  4. Step 4: Simplify right side
    705,538,632x = 1,203,138,681,471,936,256
  5. Step 5: Solve for x
    x = 1,203,138,681,471,936,256/705,538,632
  6. Step 6: Final answer
    x = 1,705,276,829.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.