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Finding the Third Proportional to 1,205,783 and 2,654,451

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Solution

The third proportional to 1,205,783 and 2,654,451 is: 5,843,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,783 : 2,654,451 = 2,654,451 : x
  2. Step 2: Convert to fraction form
    1,205,783/2,654,451 = 2,654,451/x
  3. Step 3: Cross multiply
    1,205,783x = 2,654,451 × 2,654,451
  4. Step 4: Simplify right side
    1,205,783x = 7,046,110,111,401
  5. Step 5: Solve for x
    x = 7,046,110,111,401/1,205,783
  6. Step 6: Final answer
    x = 5,843,597.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.