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Finding the Third Proportional to 1,078,247,960 and 1,540,844,432

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Solution

The third proportional to 1,078,247,960 and 1,540,844,432 is: 2,201,906,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,247,960 : 1,540,844,432 = 1,540,844,432 : x
  2. Step 2: Convert to fraction form
    1,078,247,960/1,540,844,432 = 1,540,844,432/x
  3. Step 3: Cross multiply
    1,078,247,960x = 1,540,844,432 × 1,540,844,432
  4. Step 4: Simplify right side
    1,078,247,960x = 2,374,201,563,625,402,368
  5. Step 5: Solve for x
    x = 2,374,201,563,625,402,368/1,078,247,960
  6. Step 6: Final answer
    x = 2,201,906,844.90

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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.