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Finding the Third Proportional to 713,167 and 1,566,299

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Solution

The third proportional to 713,167 and 1,566,299 is: 3,439,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,167 : 1,566,299 = 1,566,299 : x
  2. Step 2: Convert to fraction form
    713,167/1,566,299 = 1,566,299/x
  3. Step 3: Cross multiply
    713,167x = 1,566,299 × 1,566,299
  4. Step 4: Simplify right side
    713,167x = 2,453,292,557,401
  5. Step 5: Solve for x
    x = 2,453,292,557,401/713,167
  6. Step 6: Final answer
    x = 3,439,997.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.