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Finding the Third Proportional to 501,146 and 1,092,739

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Solution

The third proportional to 501,146 and 1,092,739 is: 2,382,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,146 : 1,092,739 = 1,092,739 : x
  2. Step 2: Convert to fraction form
    501,146/1,092,739 = 1,092,739/x
  3. Step 3: Cross multiply
    501,146x = 1,092,739 × 1,092,739
  4. Step 4: Simplify right side
    501,146x = 1,194,078,522,121
  5. Step 5: Solve for x
    x = 1,194,078,522,121/501,146
  6. Step 6: Final answer
    x = 2,382,695.91

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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.