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Finding the Third Proportional to 2,821,590 and 4,033,287

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Solution

The third proportional to 2,821,590 and 4,033,287 is: 5,765,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821,590 : 4,033,287 = 4,033,287 : x
  2. Step 2: Convert to fraction form
    2,821,590/4,033,287 = 4,033,287/x
  3. Step 3: Cross multiply
    2,821,590x = 4,033,287 × 4,033,287
  4. Step 4: Simplify right side
    2,821,590x = 16,267,404,024,369
  5. Step 5: Solve for x
    x = 16,267,404,024,369/2,821,590
  6. Step 6: Final answer
    x = 5,765,332.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.