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Finding the Third Proportional to 453,588 and 993,176

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Solution

The third proportional to 453,588 and 993,176 is: 2,174,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,588 : 993,176 = 993,176 : x
  2. Step 2: Convert to fraction form
    453,588/993,176 = 993,176/x
  3. Step 3: Cross multiply
    453,588x = 993,176 × 993,176
  4. Step 4: Simplify right side
    453,588x = 986,398,566,976
  5. Step 5: Solve for x
    x = 986,398,566,976/453,588
  6. Step 6: Final answer
    x = 2,174,657.55

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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.