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Finding the Third Proportional to 862,911 and 1,350,702

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Solution

The third proportional to 862,911 and 1,350,702 is: 2,114,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,911 : 1,350,702 = 1,350,702 : x
  2. Step 2: Convert to fraction form
    862,911/1,350,702 = 1,350,702/x
  3. Step 3: Cross multiply
    862,911x = 1,350,702 × 1,350,702
  4. Step 4: Simplify right side
    862,911x = 1,824,395,892,804
  5. Step 5: Solve for x
    x = 1,824,395,892,804/862,911
  6. Step 6: Final answer
    x = 2,114,234.14

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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.