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Finding the Third Proportional to 865,172 and 1,157,296

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Solution

The third proportional to 865,172 and 1,157,296 is: 1,548,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,172 : 1,157,296 = 1,157,296 : x
  2. Step 2: Convert to fraction form
    865,172/1,157,296 = 1,157,296/x
  3. Step 3: Cross multiply
    865,172x = 1,157,296 × 1,157,296
  4. Step 4: Simplify right side
    865,172x = 1,339,334,031,616
  5. Step 5: Solve for x
    x = 1,339,334,031,616/865,172
  6. Step 6: Final answer
    x = 1,548,055.22

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.