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Finding the Third Proportional to 985,086 and 2,142,702

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Solution

The third proportional to 985,086 and 2,142,702 is: 4,660,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,086 : 2,142,702 = 2,142,702 : x
  2. Step 2: Convert to fraction form
    985,086/2,142,702 = 2,142,702/x
  3. Step 3: Cross multiply
    985,086x = 2,142,702 × 2,142,702
  4. Step 4: Simplify right side
    985,086x = 4,591,171,860,804
  5. Step 5: Solve for x
    x = 4,591,171,860,804/985,086
  6. Step 6: Final answer
    x = 4,660,681.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.