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Finding the Third Proportional to 453,544 and 993,020

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Solution

The third proportional to 453,544 and 993,020 is: 2,174,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,544 : 993,020 = 993,020 : x
  2. Step 2: Convert to fraction form
    453,544/993,020 = 993,020/x
  3. Step 3: Cross multiply
    453,544x = 993,020 × 993,020
  4. Step 4: Simplify right side
    453,544x = 986,088,720,400
  5. Step 5: Solve for x
    x = 986,088,720,400/453,544
  6. Step 6: Final answer
    x = 2,174,185.35

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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.