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Finding the Third Proportional to 933,533 and 2,036,002

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Solution

The third proportional to 933,533 and 2,036,002 is: 4,440,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,533 : 2,036,002 = 2,036,002 : x
  2. Step 2: Convert to fraction form
    933,533/2,036,002 = 2,036,002/x
  3. Step 3: Cross multiply
    933,533x = 2,036,002 × 2,036,002
  4. Step 4: Simplify right side
    933,533x = 4,145,304,144,004
  5. Step 5: Solve for x
    x = 4,145,304,144,004/933,533
  6. Step 6: Final answer
    x = 4,440,447.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.