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Finding the Third Proportional to 1,024,048 and 2,205,040

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Solution

The third proportional to 1,024,048 and 2,205,040 is: 4,748,020.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,048 : 2,205,040 = 2,205,040 : x
  2. Step 2: Convert to fraction form
    1,024,048/2,205,040 = 2,205,040/x
  3. Step 3: Cross multiply
    1,024,048x = 2,205,040 × 2,205,040
  4. Step 4: Simplify right side
    1,024,048x = 4,862,201,401,600
  5. Step 5: Solve for x
    x = 4,862,201,401,600/1,024,048
  6. Step 6: Final answer
    x = 4,748,020.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.