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Finding the Third Proportional to 1,028,259 and 2,228,130

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Solution

The third proportional to 1,028,259 and 2,228,130 is: 4,828,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,259 : 2,228,130 = 2,228,130 : x
  2. Step 2: Convert to fraction form
    1,028,259/2,228,130 = 2,228,130/x
  3. Step 3: Cross multiply
    1,028,259x = 2,228,130 × 2,228,130
  4. Step 4: Simplify right side
    1,028,259x = 4,964,563,296,900
  5. Step 5: Solve for x
    x = 4,964,563,296,900/1,028,259
  6. Step 6: Final answer
    x = 4,828,125.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.