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Finding the Third Proportional to 654,543 and 1,368,666

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Solution

The third proportional to 654,543 and 1,368,666 is: 2,861,915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,543 : 1,368,666 = 1,368,666 : x
  2. Step 2: Convert to fraction form
    654,543/1,368,666 = 1,368,666/x
  3. Step 3: Cross multiply
    654,543x = 1,368,666 × 1,368,666
  4. Step 4: Simplify right side
    654,543x = 1,873,246,619,556
  5. Step 5: Solve for x
    x = 1,873,246,619,556/654,543
  6. Step 6: Final answer
    x = 2,861,915.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.