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Finding the Third Proportional to 461,324 and 998,465

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Solution

The third proportional to 461,324 and 998,465 is: 2,161,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,324 : 998,465 = 998,465 : x
  2. Step 2: Convert to fraction form
    461,324/998,465 = 998,465/x
  3. Step 3: Cross multiply
    461,324x = 998,465 × 998,465
  4. Step 4: Simplify right side
    461,324x = 996,932,356,225
  5. Step 5: Solve for x
    x = 996,932,356,225/461,324
  6. Step 6: Final answer
    x = 2,161,024.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.