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Finding the Third Proportional to 434,124,992 and 931,270,320

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Solution

The third proportional to 434,124,992 and 931,270,320 is: 1,997,729,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,124,992 : 931,270,320 = 931,270,320 : x
  2. Step 2: Convert to fraction form
    434,124,992/931,270,320 = 931,270,320/x
  3. Step 3: Cross multiply
    434,124,992x = 931,270,320 × 931,270,320
  4. Step 4: Simplify right side
    434,124,992x = 867,264,408,912,902,400
  5. Step 5: Solve for x
    x = 867,264,408,912,902,400/434,124,992
  6. Step 6: Final answer
    x = 1,997,729,743.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.