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Finding the Third Proportional to 436,361 and 912,442

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Solution

The third proportional to 436,361 and 912,442 is: 1,907,939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,361 : 912,442 = 912,442 : x
  2. Step 2: Convert to fraction form
    436,361/912,442 = 912,442/x
  3. Step 3: Cross multiply
    436,361x = 912,442 × 912,442
  4. Step 4: Simplify right side
    436,361x = 832,550,403,364
  5. Step 5: Solve for x
    x = 832,550,403,364/436,361
  6. Step 6: Final answer
    x = 1,907,939.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.