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Finding the Third Proportional to 940,216 and 2,030,053

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Solution

The third proportional to 940,216 and 2,030,053 is: 4,383,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,216 : 2,030,053 = 2,030,053 : x
  2. Step 2: Convert to fraction form
    940,216/2,030,053 = 2,030,053/x
  3. Step 3: Cross multiply
    940,216x = 2,030,053 × 2,030,053
  4. Step 4: Simplify right side
    940,216x = 4,121,115,182,809
  5. Step 5: Solve for x
    x = 4,121,115,182,809/940,216
  6. Step 6: Final answer
    x = 4,383,157.89

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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.