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Finding the Third Proportional to 404,946 and 886,156

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Solution

The third proportional to 404,946 and 886,156 is: 1,939,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,946 : 886,156 = 886,156 : x
  2. Step 2: Convert to fraction form
    404,946/886,156 = 886,156/x
  3. Step 3: Cross multiply
    404,946x = 886,156 × 886,156
  4. Step 4: Simplify right side
    404,946x = 785,272,456,336
  5. Step 5: Solve for x
    x = 785,272,456,336/404,946
  6. Step 6: Final answer
    x = 1,939,202.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.