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Finding the Third Proportional to 684,975 and 1,486,671

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Solution

The third proportional to 684,975 and 1,486,671 is: 3,226,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,975 : 1,486,671 = 1,486,671 : x
  2. Step 2: Convert to fraction form
    684,975/1,486,671 = 1,486,671/x
  3. Step 3: Cross multiply
    684,975x = 1,486,671 × 1,486,671
  4. Step 4: Simplify right side
    684,975x = 2,210,190,662,241
  5. Step 5: Solve for x
    x = 2,210,190,662,241/684,975
  6. Step 6: Final answer
    x = 3,226,673.47

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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.