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Finding the Third Proportional to 461,156 and 993,464

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Solution

The third proportional to 461,156 and 993,464 is: 2,140,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,156 : 993,464 = 993,464 : x
  2. Step 2: Convert to fraction form
    461,156/993,464 = 993,464/x
  3. Step 3: Cross multiply
    461,156x = 993,464 × 993,464
  4. Step 4: Simplify right side
    461,156x = 986,970,719,296
  5. Step 5: Solve for x
    x = 986,970,719,296/461,156
  6. Step 6: Final answer
    x = 2,140,210.08

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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.