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Finding the Third Proportional to 906,170,210 and 1,398,055,723

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Solution

The third proportional to 906,170,210 and 1,398,055,723 is: 2,156,945,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,170,210 : 1,398,055,723 = 1,398,055,723 : x
  2. Step 2: Convert to fraction form
    906,170,210/1,398,055,723 = 1,398,055,723/x
  3. Step 3: Cross multiply
    906,170,210x = 1,398,055,723 × 1,398,055,723
  4. Step 4: Simplify right side
    906,170,210x = 1,954,559,804,613,052,672
  5. Step 5: Solve for x
    x = 1,954,559,804,613,052,672/906,170,210
  6. Step 6: Final answer
    x = 2,156,945,552.88

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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.