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Finding the Third Proportional to 3,494,460 and 7,474,708

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Solution

The third proportional to 3,494,460 and 7,474,708 is: 15,988,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494,460 : 7,474,708 = 7,474,708 : x
  2. Step 2: Convert to fraction form
    3,494,460/7,474,708 = 7,474,708/x
  3. Step 3: Cross multiply
    3,494,460x = 7,474,708 × 7,474,708
  4. Step 4: Simplify right side
    3,494,460x = 55,871,259,685,264
  5. Step 5: Solve for x
    x = 55,871,259,685,264/3,494,460
  6. Step 6: Final answer
    x = 15,988,524.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.