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Finding the Third Proportional to 665,066 and 1,377,427

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Solution

The third proportional to 665,066 and 1,377,427 is: 2,852,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,066 : 1,377,427 = 1,377,427 : x
  2. Step 2: Convert to fraction form
    665,066/1,377,427 = 1,377,427/x
  3. Step 3: Cross multiply
    665,066x = 1,377,427 × 1,377,427
  4. Step 4: Simplify right side
    665,066x = 1,897,305,140,329
  5. Step 5: Solve for x
    x = 1,897,305,140,329/665,066
  6. Step 6: Final answer
    x = 2,852,807.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.