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Finding the Third Proportional to 526,251 and 1,152,657

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Solution

The third proportional to 526,251 and 1,152,657 is: 2,524,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,251 : 1,152,657 = 1,152,657 : x
  2. Step 2: Convert to fraction form
    526,251/1,152,657 = 1,152,657/x
  3. Step 3: Cross multiply
    526,251x = 1,152,657 × 1,152,657
  4. Step 4: Simplify right side
    526,251x = 1,328,618,159,649
  5. Step 5: Solve for x
    x = 1,328,618,159,649/526,251
  6. Step 6: Final answer
    x = 2,524,685.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.