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Finding the Third Proportional to 721,008 and 1,669,086

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Solution

The third proportional to 721,008 and 1,669,086 is: 3,863,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,008 : 1,669,086 = 1,669,086 : x
  2. Step 2: Convert to fraction form
    721,008/1,669,086 = 1,669,086/x
  3. Step 3: Cross multiply
    721,008x = 1,669,086 × 1,669,086
  4. Step 4: Simplify right side
    721,008x = 2,785,848,075,396
  5. Step 5: Solve for x
    x = 2,785,848,075,396/721,008
  6. Step 6: Final answer
    x = 3,863,824.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.