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Finding the Third Proportional to 494,070 and 1,005,636

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Solution

The third proportional to 494,070 and 1,005,636 is: 2,046,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,070 : 1,005,636 = 1,005,636 : x
  2. Step 2: Convert to fraction form
    494,070/1,005,636 = 1,005,636/x
  3. Step 3: Cross multiply
    494,070x = 1,005,636 × 1,005,636
  4. Step 4: Simplify right side
    494,070x = 1,011,303,764,496
  5. Step 5: Solve for x
    x = 1,011,303,764,496/494,070
  6. Step 6: Final answer
    x = 2,046,883.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.