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Finding the Third Proportional to 576,822 and 1,238,964

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Solution

The third proportional to 576,822 and 1,238,964 is: 2,661,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,822 : 1,238,964 = 1,238,964 : x
  2. Step 2: Convert to fraction form
    576,822/1,238,964 = 1,238,964/x
  3. Step 3: Cross multiply
    576,822x = 1,238,964 × 1,238,964
  4. Step 4: Simplify right side
    576,822x = 1,535,031,793,296
  5. Step 5: Solve for x
    x = 1,535,031,793,296/576,822
  6. Step 6: Final answer
    x = 2,661,188.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.