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Finding the Third Proportional to 713,173 and 1,566,311

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Solution

The third proportional to 713,173 and 1,566,311 is: 3,440,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,173 : 1,566,311 = 1,566,311 : x
  2. Step 2: Convert to fraction form
    713,173/1,566,311 = 1,566,311/x
  3. Step 3: Cross multiply
    713,173x = 1,566,311 × 1,566,311
  4. Step 4: Simplify right side
    713,173x = 2,453,330,148,721
  5. Step 5: Solve for x
    x = 2,453,330,148,721/713,173
  6. Step 6: Final answer
    x = 3,440,021.07

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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.