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Finding the Third Proportional to 526,176 and 1,157,328

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Solution

The third proportional to 526,176 and 1,157,328 is: 2,545,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,176 : 1,157,328 = 1,157,328 : x
  2. Step 2: Convert to fraction form
    526,176/1,157,328 = 1,157,328/x
  3. Step 3: Cross multiply
    526,176x = 1,157,328 × 1,157,328
  4. Step 4: Simplify right side
    526,176x = 1,339,408,099,584
  5. Step 5: Solve for x
    x = 1,339,408,099,584/526,176
  6. Step 6: Final answer
    x = 2,545,551.49

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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.