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Finding the Third Proportional to 865,176 and 1,157,302

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Solution

The third proportional to 865,176 and 1,157,302 is: 1,548,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,176 : 1,157,302 = 1,157,302 : x
  2. Step 2: Convert to fraction form
    865,176/1,157,302 = 1,157,302/x
  3. Step 3: Cross multiply
    865,176x = 1,157,302 × 1,157,302
  4. Step 4: Simplify right side
    865,176x = 1,339,347,919,204
  5. Step 5: Solve for x
    x = 1,339,347,919,204/865,176
  6. Step 6: Final answer
    x = 1,548,064.12

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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.