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Finding the Third Proportional to 536,758 and 1,157,584

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Solution

The third proportional to 536,758 and 1,157,584 is: 2,496,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,758 : 1,157,584 = 1,157,584 : x
  2. Step 2: Convert to fraction form
    536,758/1,157,584 = 1,157,584/x
  3. Step 3: Cross multiply
    536,758x = 1,157,584 × 1,157,584
  4. Step 4: Simplify right side
    536,758x = 1,340,000,717,056
  5. Step 5: Solve for x
    x = 1,340,000,717,056/536,758
  6. Step 6: Final answer
    x = 2,496,470.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.