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Finding the Third Proportional to 1,078,247,958 and 1,540,844,429

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Solution

The third proportional to 1,078,247,958 and 1,540,844,429 is: 2,201,906,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,247,958 : 1,540,844,429 = 1,540,844,429 : x
  2. Step 2: Convert to fraction form
    1,078,247,958/1,540,844,429 = 1,540,844,429/x
  3. Step 3: Cross multiply
    1,078,247,958x = 1,540,844,429 × 1,540,844,429
  4. Step 4: Simplify right side
    1,078,247,958x = 2,374,201,554,380,336,128
  5. Step 5: Solve for x
    x = 2,374,201,554,380,336,128/1,078,247,958
  6. Step 6: Final answer
    x = 2,201,906,840.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.