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Finding the Third Proportional to 453,594 and 993,188

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Solution

The third proportional to 453,594 and 993,188 is: 2,174,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,594 : 993,188 = 993,188 : x
  2. Step 2: Convert to fraction form
    453,594/993,188 = 993,188/x
  3. Step 3: Cross multiply
    453,594x = 993,188 × 993,188
  4. Step 4: Simplify right side
    453,594x = 986,422,403,344
  5. Step 5: Solve for x
    x = 986,422,403,344/453,594
  6. Step 6: Final answer
    x = 2,174,681.33

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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.