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Finding the Third Proportional to 688,342 and 1,476,326

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Solution

The third proportional to 688,342 and 1,476,326 is: 3,166,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,342 : 1,476,326 = 1,476,326 : x
  2. Step 2: Convert to fraction form
    688,342/1,476,326 = 1,476,326/x
  3. Step 3: Cross multiply
    688,342x = 1,476,326 × 1,476,326
  4. Step 4: Simplify right side
    688,342x = 2,179,538,458,276
  5. Step 5: Solve for x
    x = 2,179,538,458,276/688,342
  6. Step 6: Final answer
    x = 3,166,359.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.