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Finding the Third Proportional to 480,964 and 1,028,624

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Solution

The third proportional to 480,964 and 1,028,624 is: 2,199,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,964 : 1,028,624 = 1,028,624 : x
  2. Step 2: Convert to fraction form
    480,964/1,028,624 = 1,028,624/x
  3. Step 3: Cross multiply
    480,964x = 1,028,624 × 1,028,624
  4. Step 4: Simplify right side
    480,964x = 1,058,067,333,376
  5. Step 5: Solve for x
    x = 1,058,067,333,376/480,964
  6. Step 6: Final answer
    x = 2,199,888.83

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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.