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Finding the Third Proportional to 865,234 and 1,157,371

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Solution

The third proportional to 865,234 and 1,157,371 is: 1,548,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,234 : 1,157,371 = 1,157,371 : x
  2. Step 2: Convert to fraction form
    865,234/1,157,371 = 1,157,371/x
  3. Step 3: Cross multiply
    865,234x = 1,157,371 × 1,157,371
  4. Step 4: Simplify right side
    865,234x = 1,339,507,631,641
  5. Step 5: Solve for x
    x = 1,339,507,631,641/865,234
  6. Step 6: Final answer
    x = 1,548,144.93

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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.