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Finding the Third Proportional to 625,016 and 1,294,342

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Solution

The third proportional to 625,016 and 1,294,342 is: 2,680,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,016 : 1,294,342 = 1,294,342 : x
  2. Step 2: Convert to fraction form
    625,016/1,294,342 = 1,294,342/x
  3. Step 3: Cross multiply
    625,016x = 1,294,342 × 1,294,342
  4. Step 4: Simplify right side
    625,016x = 1,675,321,212,964
  5. Step 5: Solve for x
    x = 1,675,321,212,964/625,016
  6. Step 6: Final answer
    x = 2,680,445.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.