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Finding the Third Proportional to 574,424 and 1,262,928

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Solution

The third proportional to 574,424 and 1,262,928 is: 2,776,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,424 : 1,262,928 = 1,262,928 : x
  2. Step 2: Convert to fraction form
    574,424/1,262,928 = 1,262,928/x
  3. Step 3: Cross multiply
    574,424x = 1,262,928 × 1,262,928
  4. Step 4: Simplify right side
    574,424x = 1,594,987,133,184
  5. Step 5: Solve for x
    x = 1,594,987,133,184/574,424
  6. Step 6: Final answer
    x = 2,776,672.17

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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.