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Finding the Third Proportional to 453,586 and 993,356

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Solution

The third proportional to 453,586 and 993,356 is: 2,175,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,586 : 993,356 = 993,356 : x
  2. Step 2: Convert to fraction form
    453,586/993,356 = 993,356/x
  3. Step 3: Cross multiply
    453,586x = 993,356 × 993,356
  4. Step 4: Simplify right side
    453,586x = 986,756,142,736
  5. Step 5: Solve for x
    x = 986,756,142,736/453,586
  6. Step 6: Final answer
    x = 2,175,455.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.