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Finding the Third Proportional to 1,002,840 and 2,145,648

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Solution

The third proportional to 1,002,840 and 2,145,648 is: 4,590,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,840 : 2,145,648 = 2,145,648 : x
  2. Step 2: Convert to fraction form
    1,002,840/2,145,648 = 2,145,648/x
  3. Step 3: Cross multiply
    1,002,840x = 2,145,648 × 2,145,648
  4. Step 4: Simplify right side
    1,002,840x = 4,603,805,339,904
  5. Step 5: Solve for x
    x = 4,603,805,339,904/1,002,840
  6. Step 6: Final answer
    x = 4,590,767.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.