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Finding the Third Proportional to 420,296 and 912,034

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Solution

The third proportional to 420,296 and 912,034 is: 1,979,095.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,296 : 912,034 = 912,034 : x
  2. Step 2: Convert to fraction form
    420,296/912,034 = 912,034/x
  3. Step 3: Cross multiply
    420,296x = 912,034 × 912,034
  4. Step 4: Simplify right side
    420,296x = 831,806,017,156
  5. Step 5: Solve for x
    x = 831,806,017,156/420,296
  6. Step 6: Final answer
    x = 1,979,095.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.