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Finding the Third Proportional to 713,171 and 1,566,307

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Solution

The third proportional to 713,171 and 1,566,307 is: 3,440,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,171 : 1,566,307 = 1,566,307 : x
  2. Step 2: Convert to fraction form
    713,171/1,566,307 = 1,566,307/x
  3. Step 3: Cross multiply
    713,171x = 1,566,307 × 1,566,307
  4. Step 4: Simplify right side
    713,171x = 2,453,317,618,249
  5. Step 5: Solve for x
    x = 2,453,317,618,249/713,171
  6. Step 6: Final answer
    x = 3,440,013.15

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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.