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Finding the Third Proportional to 921,474 and 1,916,514

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Solution

The third proportional to 921,474 and 1,916,514 is: 3,986,033.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,474 : 1,916,514 = 1,916,514 : x
  2. Step 2: Convert to fraction form
    921,474/1,916,514 = 1,916,514/x
  3. Step 3: Cross multiply
    921,474x = 1,916,514 × 1,916,514
  4. Step 4: Simplify right side
    921,474x = 3,673,025,912,196
  5. Step 5: Solve for x
    x = 3,673,025,912,196/921,474
  6. Step 6: Final answer
    x = 3,986,033.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.