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Finding the Third Proportional to 654,714 and 1,409,544

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Solution

The third proportional to 654,714 and 1,409,544 is: 3,034,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,714 : 1,409,544 = 1,409,544 : x
  2. Step 2: Convert to fraction form
    654,714/1,409,544 = 1,409,544/x
  3. Step 3: Cross multiply
    654,714x = 1,409,544 × 1,409,544
  4. Step 4: Simplify right side
    654,714x = 1,986,814,287,936
  5. Step 5: Solve for x
    x = 1,986,814,287,936/654,714
  6. Step 6: Final answer
    x = 3,034,629.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.