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Finding the Third Proportional to 458,499 and 996,054

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Solution

The third proportional to 458,499 and 996,054 is: 2,163,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,499 : 996,054 = 996,054 : x
  2. Step 2: Convert to fraction form
    458,499/996,054 = 996,054/x
  3. Step 3: Cross multiply
    458,499x = 996,054 × 996,054
  4. Step 4: Simplify right side
    458,499x = 992,123,570,916
  5. Step 5: Solve for x
    x = 992,123,570,916/458,499
  6. Step 6: Final answer
    x = 2,163,851.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.