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Finding the Third Proportional to 657,936 and 1,434,861

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Solution

The third proportional to 657,936 and 1,434,861 is: 3,129,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,936 : 1,434,861 = 1,434,861 : x
  2. Step 2: Convert to fraction form
    657,936/1,434,861 = 1,434,861/x
  3. Step 3: Cross multiply
    657,936x = 1,434,861 × 1,434,861
  4. Step 4: Simplify right side
    657,936x = 2,058,826,089,321
  5. Step 5: Solve for x
    x = 2,058,826,089,321/657,936
  6. Step 6: Final answer
    x = 3,129,219.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.