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Finding the Third Proportional to 684,926 and 1,486,567

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Solution

The third proportional to 684,926 and 1,486,567 is: 3,226,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,926 : 1,486,567 = 1,486,567 : x
  2. Step 2: Convert to fraction form
    684,926/1,486,567 = 1,486,567/x
  3. Step 3: Cross multiply
    684,926x = 1,486,567 × 1,486,567
  4. Step 4: Simplify right side
    684,926x = 2,209,881,445,489
  5. Step 5: Solve for x
    x = 2,209,881,445,489/684,926
  6. Step 6: Final answer
    x = 3,226,452.85

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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.