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Finding the Third Proportional to 461,144 and 993,416

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Solution

The third proportional to 461,144 and 993,416 is: 2,140,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,144 : 993,416 = 993,416 : x
  2. Step 2: Convert to fraction form
    461,144/993,416 = 993,416/x
  3. Step 3: Cross multiply
    461,144x = 993,416 × 993,416
  4. Step 4: Simplify right side
    461,144x = 986,875,349,056
  5. Step 5: Solve for x
    x = 986,875,349,056/461,144
  6. Step 6: Final answer
    x = 2,140,058.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.