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Finding the Third Proportional to 537,861 and 1,158,714

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Solution

The third proportional to 537,861 and 1,158,714 is: 2,496,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,861 : 1,158,714 = 1,158,714 : x
  2. Step 2: Convert to fraction form
    537,861/1,158,714 = 1,158,714/x
  3. Step 3: Cross multiply
    537,861x = 1,158,714 × 1,158,714
  4. Step 4: Simplify right side
    537,861x = 1,342,618,133,796
  5. Step 5: Solve for x
    x = 1,342,618,133,796/537,861
  6. Step 6: Final answer
    x = 2,496,217.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.