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Finding the Third Proportional to 522,051 and 1,139,976

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Solution

The third proportional to 522,051 and 1,139,976 is: 2,489,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,051 : 1,139,976 = 1,139,976 : x
  2. Step 2: Convert to fraction form
    522,051/1,139,976 = 1,139,976/x
  3. Step 3: Cross multiply
    522,051x = 1,139,976 × 1,139,976
  4. Step 4: Simplify right side
    522,051x = 1,299,545,280,576
  5. Step 5: Solve for x
    x = 1,299,545,280,576/522,051
  6. Step 6: Final answer
    x = 2,489,307.14

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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.