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Finding the Third Proportional to 480,826 and 1,028,357

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Solution

The third proportional to 480,826 and 1,028,357 is: 2,199,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,826 : 1,028,357 = 1,028,357 : x
  2. Step 2: Convert to fraction form
    480,826/1,028,357 = 1,028,357/x
  3. Step 3: Cross multiply
    480,826x = 1,028,357 × 1,028,357
  4. Step 4: Simplify right side
    480,826x = 1,057,518,119,449
  5. Step 5: Solve for x
    x = 1,057,518,119,449/480,826
  6. Step 6: Final answer
    x = 2,199,377.99

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