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Finding the Third Proportional to 396,102 and 849,066

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Solution

The third proportional to 396,102 and 849,066 is: 1,820,018.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,102 : 849,066 = 849,066 : x
  2. Step 2: Convert to fraction form
    396,102/849,066 = 849,066/x
  3. Step 3: Cross multiply
    396,102x = 849,066 × 849,066
  4. Step 4: Simplify right side
    396,102x = 720,913,072,356
  5. Step 5: Solve for x
    x = 720,913,072,356/396,102
  6. Step 6: Final answer
    x = 1,820,018.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.