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Finding the Third Proportional to 667,051 and 1,458,659

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Solution

The third proportional to 667,051 and 1,458,659 is: 3,189,690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,051 : 1,458,659 = 1,458,659 : x
  2. Step 2: Convert to fraction form
    667,051/1,458,659 = 1,458,659/x
  3. Step 3: Cross multiply
    667,051x = 1,458,659 × 1,458,659
  4. Step 4: Simplify right side
    667,051x = 2,127,686,078,281
  5. Step 5: Solve for x
    x = 2,127,686,078,281/667,051
  6. Step 6: Final answer
    x = 3,189,690.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.