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Finding the Third Proportional to 822,988,124 and 1,253,776,270

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Solution

The third proportional to 822,988,124 and 1,253,776,270 is: 1,910,057,860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,988,124 : 1,253,776,270 = 1,253,776,270 : x
  2. Step 2: Convert to fraction form
    822,988,124/1,253,776,270 = 1,253,776,270/x
  3. Step 3: Cross multiply
    822,988,124x = 1,253,776,270 × 1,253,776,270
  4. Step 4: Simplify right side
    822,988,124x = 1,571,954,935,215,112,960
  5. Step 5: Solve for x
    x = 1,571,954,935,215,112,960/822,988,124
  6. Step 6: Final answer
    x = 1,910,057,860.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.