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Finding the Third Proportional to 424,927 and 913,007

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Solution

The third proportional to 424,927 and 913,007 is: 1,961,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,927 : 913,007 = 913,007 : x
  2. Step 2: Convert to fraction form
    424,927/913,007 = 913,007/x
  3. Step 3: Cross multiply
    424,927x = 913,007 × 913,007
  4. Step 4: Simplify right side
    424,927x = 833,581,782,049
  5. Step 5: Solve for x
    x = 833,581,782,049/424,927
  6. Step 6: Final answer
    x = 1,961,705.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.