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Finding the Third Proportional to 940,416 and 1,452,984

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Solution

The third proportional to 940,416 and 1,452,984 is: 2,244,924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,416 : 1,452,984 = 1,452,984 : x
  2. Step 2: Convert to fraction form
    940,416/1,452,984 = 1,452,984/x
  3. Step 3: Cross multiply
    940,416x = 1,452,984 × 1,452,984
  4. Step 4: Simplify right side
    940,416x = 2,111,162,504,256
  5. Step 5: Solve for x
    x = 2,111,162,504,256/940,416
  6. Step 6: Final answer
    x = 2,244,924.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.