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Finding the Third Proportional to 856,002 and 2,024,351

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Solution

The third proportional to 856,002 and 2,024,351 is: 4,787,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,002 : 2,024,351 = 2,024,351 : x
  2. Step 2: Convert to fraction form
    856,002/2,024,351 = 2,024,351/x
  3. Step 3: Cross multiply
    856,002x = 2,024,351 × 2,024,351
  4. Step 4: Simplify right side
    856,002x = 4,097,996,971,201
  5. Step 5: Solve for x
    x = 4,097,996,971,201/856,002
  6. Step 6: Final answer
    x = 4,787,368.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.