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Finding the Third Proportional to 713,206 and 1,566,379

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Solution

The third proportional to 713,206 and 1,566,379 is: 3,440,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,206 : 1,566,379 = 1,566,379 : x
  2. Step 2: Convert to fraction form
    713,206/1,566,379 = 1,566,379/x
  3. Step 3: Cross multiply
    713,206x = 1,566,379 × 1,566,379
  4. Step 4: Simplify right side
    713,206x = 2,453,543,171,641
  5. Step 5: Solve for x
    x = 2,453,543,171,641/713,206
  6. Step 6: Final answer
    x = 3,440,160.59

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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.