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Finding the Third Proportional to 858,310 and 1,864,098

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Solution

The third proportional to 858,310 and 1,864,098 is: 4,048,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,310 : 1,864,098 = 1,864,098 : x
  2. Step 2: Convert to fraction form
    858,310/1,864,098 = 1,864,098/x
  3. Step 3: Cross multiply
    858,310x = 1,864,098 × 1,864,098
  4. Step 4: Simplify right side
    858,310x = 3,474,861,353,604
  5. Step 5: Solve for x
    x = 3,474,861,353,604/858,310
  6. Step 6: Final answer
    x = 4,048,492.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.