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Finding the Third Proportional to 431,177 and 907,047

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Solution

The third proportional to 431,177 and 907,047 is: 1,908,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,177 : 907,047 = 907,047 : x
  2. Step 2: Convert to fraction form
    431,177/907,047 = 907,047/x
  3. Step 3: Cross multiply
    431,177x = 907,047 × 907,047
  4. Step 4: Simplify right side
    431,177x = 822,734,260,209
  5. Step 5: Solve for x
    x = 822,734,260,209/431,177
  6. Step 6: Final answer
    x = 1,908,112.59

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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.