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Finding the Third Proportional to 466,396 and 988,844

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Solution

The third proportional to 466,396 and 988,844 is: 2,096,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,396 : 988,844 = 988,844 : x
  2. Step 2: Convert to fraction form
    466,396/988,844 = 988,844/x
  3. Step 3: Cross multiply
    466,396x = 988,844 × 988,844
  4. Step 4: Simplify right side
    466,396x = 977,812,456,336
  5. Step 5: Solve for x
    x = 977,812,456,336/466,396
  6. Step 6: Final answer
    x = 2,096,528.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.