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Finding the Third Proportional to 1,059,408 and 1,613,592

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Solution

The third proportional to 1,059,408 and 1,613,592 is: 2,457,673.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,408 : 1,613,592 = 1,613,592 : x
  2. Step 2: Convert to fraction form
    1,059,408/1,613,592 = 1,613,592/x
  3. Step 3: Cross multiply
    1,059,408x = 1,613,592 × 1,613,592
  4. Step 4: Simplify right side
    1,059,408x = 2,603,679,142,464
  5. Step 5: Solve for x
    x = 2,603,679,142,464/1,059,408
  6. Step 6: Final answer
    x = 2,457,673.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.