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Finding the Third Proportional to 2,066,408 and 4,459,024

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Solution

The third proportional to 2,066,408 and 4,459,024 is: 9,621,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066,408 : 4,459,024 = 4,459,024 : x
  2. Step 2: Convert to fraction form
    2,066,408/4,459,024 = 4,459,024/x
  3. Step 3: Cross multiply
    2,066,408x = 4,459,024 × 4,459,024
  4. Step 4: Simplify right side
    2,066,408x = 19,882,895,032,576
  5. Step 5: Solve for x
    x = 19,882,895,032,576/2,066,408
  6. Step 6: Final answer
    x = 9,621,959.96

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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.