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Finding the Third Proportional to 461,154 and 993,460

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Solution

The third proportional to 461,154 and 993,460 is: 2,140,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,154 : 993,460 = 993,460 : x
  2. Step 2: Convert to fraction form
    461,154/993,460 = 993,460/x
  3. Step 3: Cross multiply
    461,154x = 993,460 × 993,460
  4. Step 4: Simplify right side
    461,154x = 986,962,771,600
  5. Step 5: Solve for x
    x = 986,962,771,600/461,154
  6. Step 6: Final answer
    x = 2,140,202.13

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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.