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Finding the Third Proportional to 522,042 and 1,139,964

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Solution

The third proportional to 522,042 and 1,139,964 is: 2,489,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,042 : 1,139,964 = 1,139,964 : x
  2. Step 2: Convert to fraction form
    522,042/1,139,964 = 1,139,964/x
  3. Step 3: Cross multiply
    522,042x = 1,139,964 × 1,139,964
  4. Step 4: Simplify right side
    522,042x = 1,299,517,921,296
  5. Step 5: Solve for x
    x = 1,299,517,921,296/522,042
  6. Step 6: Final answer
    x = 2,489,297.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.