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Finding the Third Proportional to 1,002,069 and 2,102,607

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Solution

The third proportional to 1,002,069 and 2,102,607 is: 4,411,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,069 : 2,102,607 = 2,102,607 : x
  2. Step 2: Convert to fraction form
    1,002,069/2,102,607 = 2,102,607/x
  3. Step 3: Cross multiply
    1,002,069x = 2,102,607 × 2,102,607
  4. Step 4: Simplify right side
    1,002,069x = 4,420,956,196,449
  5. Step 5: Solve for x
    x = 4,420,956,196,449/1,002,069
  6. Step 6: Final answer
    x = 4,411,828.12

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.