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Finding the Third Proportional to 1,002,294 and 2,103,003

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Solution

The third proportional to 1,002,294 and 2,103,003 is: 4,412,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,294 : 2,103,003 = 2,103,003 : x
  2. Step 2: Convert to fraction form
    1,002,294/2,103,003 = 2,103,003/x
  3. Step 3: Cross multiply
    1,002,294x = 2,103,003 × 2,103,003
  4. Step 4: Simplify right side
    1,002,294x = 4,422,621,618,009
  5. Step 5: Solve for x
    x = 4,422,621,618,009/1,002,294
  6. Step 6: Final answer
    x = 4,412,499.34

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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.