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Finding the Third Proportional to 712,784.25 and 1,551,051

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Solution

The third proportional to 712,784.25 and 1,551,051 is: 3,375,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,784.25 : 1,551,051 = 1,551,051 : x
  2. Step 2: Convert to fraction form
    712,784.25/1,551,051 = 1,551,051/x
  3. Step 3: Cross multiply
    712,784.25x = 1,551,051 × 1,551,051
  4. Step 4: Simplify right side
    712,784.25x = 2,405,759,204,601
  5. Step 5: Solve for x
    x = 2,405,759,204,601/712,784.25
  6. Step 6: Final answer
    x = 3,375,157.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.