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Finding the Third Proportional to 431,188 and 907,061

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Solution

The third proportional to 431,188 and 907,061 is: 1,908,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,188 : 907,061 = 907,061 : x
  2. Step 2: Convert to fraction form
    431,188/907,061 = 907,061/x
  3. Step 3: Cross multiply
    431,188x = 907,061 × 907,061
  4. Step 4: Simplify right side
    431,188x = 822,759,657,721
  5. Step 5: Solve for x
    x = 822,759,657,721/431,188
  6. Step 6: Final answer
    x = 1,908,122.81

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