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Finding the Third Proportional to 694,927 and 1,036,312

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Solution

The third proportional to 694,927 and 1,036,312 is: 1,545,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,927 : 1,036,312 = 1,036,312 : x
  2. Step 2: Convert to fraction form
    694,927/1,036,312 = 1,036,312/x
  3. Step 3: Cross multiply
    694,927x = 1,036,312 × 1,036,312
  4. Step 4: Simplify right side
    694,927x = 1,073,942,561,344
  5. Step 5: Solve for x
    x = 1,073,942,561,344/694,927
  6. Step 6: Final answer
    x = 1,545,403.42

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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.