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Finding the Third Proportional to 862,827 and 1,350,558

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Solution

The third proportional to 862,827 and 1,350,558 is: 2,113,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,827 : 1,350,558 = 1,350,558 : x
  2. Step 2: Convert to fraction form
    862,827/1,350,558 = 1,350,558/x
  3. Step 3: Cross multiply
    862,827x = 1,350,558 × 1,350,558
  4. Step 4: Simplify right side
    862,827x = 1,824,006,911,364
  5. Step 5: Solve for x
    x = 1,824,006,911,364/862,827
  6. Step 6: Final answer
    x = 2,113,989.14

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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.