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Finding the Third Proportional to 654,600 and 1,412,208

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Solution

The third proportional to 654,600 and 1,412,208 is: 3,046,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,600 : 1,412,208 = 1,412,208 : x
  2. Step 2: Convert to fraction form
    654,600/1,412,208 = 1,412,208/x
  3. Step 3: Cross multiply
    654,600x = 1,412,208 × 1,412,208
  4. Step 4: Simplify right side
    654,600x = 1,994,331,435,264
  5. Step 5: Solve for x
    x = 1,994,331,435,264/654,600
  6. Step 6: Final answer
    x = 3,046,641.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.