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Finding the Third Proportional to 449,174 and 964,066

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Solution

The third proportional to 449,174 and 964,066 is: 2,069,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,174 : 964,066 = 964,066 : x
  2. Step 2: Convert to fraction form
    449,174/964,066 = 964,066/x
  3. Step 3: Cross multiply
    449,174x = 964,066 × 964,066
  4. Step 4: Simplify right side
    449,174x = 929,423,252,356
  5. Step 5: Solve for x
    x = 929,423,252,356/449,174
  6. Step 6: Final answer
    x = 2,069,183.11

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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.