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Finding the Third Proportional to 3,840,312 and 6,186,096

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Solution

The third proportional to 3,840,312 and 6,186,096 is: 9,964,759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840,312 : 6,186,096 = 6,186,096 : x
  2. Step 2: Convert to fraction form
    3,840,312/6,186,096 = 6,186,096/x
  3. Step 3: Cross multiply
    3,840,312x = 6,186,096 × 6,186,096
  4. Step 4: Simplify right side
    3,840,312x = 38,267,783,721,216
  5. Step 5: Solve for x
    x = 38,267,783,721,216/3,840,312
  6. Step 6: Final answer
    x = 9,964,759.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.