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Finding the Third Proportional to 480,828 and 1,028,361

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Solution

The third proportional to 480,828 and 1,028,361 is: 2,199,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,828 : 1,028,361 = 1,028,361 : x
  2. Step 2: Convert to fraction form
    480,828/1,028,361 = 1,028,361/x
  3. Step 3: Cross multiply
    480,828x = 1,028,361 × 1,028,361
  4. Step 4: Simplify right side
    480,828x = 1,057,526,346,321
  5. Step 5: Solve for x
    x = 1,057,526,346,321/480,828
  6. Step 6: Final answer
    x = 2,199,385.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.