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Finding the Third Proportional to 431,372 and 907,364

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Solution

The third proportional to 431,372 and 907,364 is: 1,908,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,372 : 907,364 = 907,364 : x
  2. Step 2: Convert to fraction form
    431,372/907,364 = 907,364/x
  3. Step 3: Cross multiply
    431,372x = 907,364 × 907,364
  4. Step 4: Simplify right side
    431,372x = 823,309,428,496
  5. Step 5: Solve for x
    x = 823,309,428,496/431,372
  6. Step 6: Final answer
    x = 1,908,583.38

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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.