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Finding the Third Proportional to 906,170,208 and 1,398,055,720

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Solution

The third proportional to 906,170,208 and 1,398,055,720 is: 2,156,945,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,170,208 : 1,398,055,720 = 1,398,055,720 : x
  2. Step 2: Convert to fraction form
    906,170,208/1,398,055,720 = 1,398,055,720/x
  3. Step 3: Cross multiply
    906,170,208x = 1,398,055,720 × 1,398,055,720
  4. Step 4: Simplify right side
    906,170,208x = 1,954,559,796,224,718,336
  5. Step 5: Solve for x
    x = 1,954,559,796,224,718,336/906,170,208
  6. Step 6: Final answer
    x = 2,156,945,548.39

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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.