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Finding the Third Proportional to 400,859,244 and 838,370,056

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Solution

The third proportional to 400,859,244 and 838,370,056 is: 1,753,394,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,859,244 : 838,370,056 = 838,370,056 : x
  2. Step 2: Convert to fraction form
    400,859,244/838,370,056 = 838,370,056/x
  3. Step 3: Cross multiply
    400,859,244x = 838,370,056 × 838,370,056
  4. Step 4: Simplify right side
    400,859,244x = 702,864,350,797,443,072
  5. Step 5: Solve for x
    x = 702,864,350,797,443,072/400,859,244
  6. Step 6: Final answer
    x = 1,753,394,392.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.