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Finding the Third Proportional to 694,912 and 1,036,294

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Solution

The third proportional to 694,912 and 1,036,294 is: 1,545,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,912 : 1,036,294 = 1,036,294 : x
  2. Step 2: Convert to fraction form
    694,912/1,036,294 = 1,036,294/x
  3. Step 3: Cross multiply
    694,912x = 1,036,294 × 1,036,294
  4. Step 4: Simplify right side
    694,912x = 1,073,905,254,436
  5. Step 5: Solve for x
    x = 1,073,905,254,436/694,912
  6. Step 6: Final answer
    x = 1,545,383.09

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