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Finding the Third Proportional to 424,174 and 914,754

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Solution

The third proportional to 424,174 and 914,754 is: 1,972,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,174 : 914,754 = 914,754 : x
  2. Step 2: Convert to fraction form
    424,174/914,754 = 914,754/x
  3. Step 3: Cross multiply
    424,174x = 914,754 × 914,754
  4. Step 4: Simplify right side
    424,174x = 836,774,880,516
  5. Step 5: Solve for x
    x = 836,774,880,516/424,174
  6. Step 6: Final answer
    x = 1,972,716.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.