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Finding the Third Proportional to 684,979 and 1,486,679

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Solution

The third proportional to 684,979 and 1,486,679 is: 3,226,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,979 : 1,486,679 = 1,486,679 : x
  2. Step 2: Convert to fraction form
    684,979/1,486,679 = 1,486,679/x
  3. Step 3: Cross multiply
    684,979x = 1,486,679 × 1,486,679
  4. Step 4: Simplify right side
    684,979x = 2,210,214,449,041
  5. Step 5: Solve for x
    x = 2,210,214,449,041/684,979
  6. Step 6: Final answer
    x = 3,226,689.36

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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.