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Finding the Third Proportional to 815,751 and 1,146,717

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Solution

The third proportional to 815,751 and 1,146,717 is: 1,611,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,751 : 1,146,717 = 1,146,717 : x
  2. Step 2: Convert to fraction form
    815,751/1,146,717 = 1,146,717/x
  3. Step 3: Cross multiply
    815,751x = 1,146,717 × 1,146,717
  4. Step 4: Simplify right side
    815,751x = 1,314,959,878,089
  5. Step 5: Solve for x
    x = 1,314,959,878,089/815,751
  6. Step 6: Final answer
    x = 1,611,962.32

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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.