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Finding the Third Proportional to 862,823 and 1,350,552

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Solution

The third proportional to 862,823 and 1,350,552 is: 2,113,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,823 : 1,350,552 = 1,350,552 : x
  2. Step 2: Convert to fraction form
    862,823/1,350,552 = 1,350,552/x
  3. Step 3: Cross multiply
    862,823x = 1,350,552 × 1,350,552
  4. Step 4: Simplify right side
    862,823x = 1,823,990,704,704
  5. Step 5: Solve for x
    x = 1,823,990,704,704/862,823
  6. Step 6: Final answer
    x = 2,113,980.16

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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.