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Finding the Third Proportional to 862,900 and 1,350,685

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Solution

The third proportional to 862,900 and 1,350,685 is: 2,114,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,900 : 1,350,685 = 1,350,685 : x
  2. Step 2: Convert to fraction form
    862,900/1,350,685 = 1,350,685/x
  3. Step 3: Cross multiply
    862,900x = 1,350,685 × 1,350,685
  4. Step 4: Simplify right side
    862,900x = 1,824,349,969,225
  5. Step 5: Solve for x
    x = 1,824,349,969,225/862,900
  6. Step 6: Final answer
    x = 2,114,207.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.