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Finding the Third Proportional to 1,036,408 and 2,242,576

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Solution

The third proportional to 1,036,408 and 2,242,576 is: 4,852,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,408 : 2,242,576 = 2,242,576 : x
  2. Step 2: Convert to fraction form
    1,036,408/2,242,576 = 2,242,576/x
  3. Step 3: Cross multiply
    1,036,408x = 2,242,576 × 2,242,576
  4. Step 4: Simplify right side
    1,036,408x = 5,029,147,115,776
  5. Step 5: Solve for x
    x = 5,029,147,115,776/1,036,408
  6. Step 6: Final answer
    x = 4,852,478.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.