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Finding the Third Proportional to 431,206 and 907,092

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Solution

The third proportional to 431,206 and 907,092 is: 1,908,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,206 : 907,092 = 907,092 : x
  2. Step 2: Convert to fraction form
    431,206/907,092 = 907,092/x
  3. Step 3: Cross multiply
    431,206x = 907,092 × 907,092
  4. Step 4: Simplify right side
    431,206x = 822,815,896,464
  5. Step 5: Solve for x
    x = 822,815,896,464/431,206
  6. Step 6: Final answer
    x = 1,908,173.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.