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Finding the Third Proportional to 2,582,032 and 5,673,640

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Solution

The third proportional to 2,582,032 and 5,673,640 is: 12,466,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,032 : 5,673,640 = 5,673,640 : x
  2. Step 2: Convert to fraction form
    2,582,032/5,673,640 = 5,673,640/x
  3. Step 3: Cross multiply
    2,582,032x = 5,673,640 × 5,673,640
  4. Step 4: Simplify right side
    2,582,032x = 32,190,190,849,600
  5. Step 5: Solve for x
    x = 32,190,190,849,600/2,582,032
  6. Step 6: Final answer
    x = 12,466,999.19

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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.