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Finding the Third Proportional to 699,282 and 987,032

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Solution

The third proportional to 699,282 and 987,032 is: 1,393,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,282 : 987,032 = 987,032 : x
  2. Step 2: Convert to fraction form
    699,282/987,032 = 987,032/x
  3. Step 3: Cross multiply
    699,282x = 987,032 × 987,032
  4. Step 4: Simplify right side
    699,282x = 974,232,169,024
  5. Step 5: Solve for x
    x = 974,232,169,024/699,282
  6. Step 6: Final answer
    x = 1,393,189.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.