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Finding the Third Proportional to 694,911 and 1,036,293

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Solution

The third proportional to 694,911 and 1,036,293 is: 1,545,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,911 : 1,036,293 = 1,036,293 : x
  2. Step 2: Convert to fraction form
    694,911/1,036,293 = 1,036,293/x
  3. Step 3: Cross multiply
    694,911x = 1,036,293 × 1,036,293
  4. Step 4: Simplify right side
    694,911x = 1,073,903,181,849
  5. Step 5: Solve for x
    x = 1,073,903,181,849/694,911
  6. Step 6: Final answer
    x = 1,545,382.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.