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Finding the Third Proportional to 684,086 and 1,485,004

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Solution

The third proportional to 684,086 and 1,485,004 is: 3,223,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,086 : 1,485,004 = 1,485,004 : x
  2. Step 2: Convert to fraction form
    684,086/1,485,004 = 1,485,004/x
  3. Step 3: Cross multiply
    684,086x = 1,485,004 × 1,485,004
  4. Step 4: Simplify right side
    684,086x = 2,205,236,880,016
  5. Step 5: Solve for x
    x = 2,205,236,880,016/684,086
  6. Step 6: Final answer
    x = 3,223,625.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.