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Finding the Third Proportional to 526,186 and 1,157,348

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Solution

The third proportional to 526,186 and 1,157,348 is: 2,545,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,186 : 1,157,348 = 1,157,348 : x
  2. Step 2: Convert to fraction form
    526,186/1,157,348 = 1,157,348/x
  3. Step 3: Cross multiply
    526,186x = 1,157,348 × 1,157,348
  4. Step 4: Simplify right side
    526,186x = 1,339,454,393,104
  5. Step 5: Solve for x
    x = 1,339,454,393,104/526,186
  6. Step 6: Final answer
    x = 2,545,591.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.