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Finding the Third Proportional to 656,118 and 1,435,678

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Solution

The third proportional to 656,118 and 1,435,678 is: 3,141,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,118 : 1,435,678 = 1,435,678 : x
  2. Step 2: Convert to fraction form
    656,118/1,435,678 = 1,435,678/x
  3. Step 3: Cross multiply
    656,118x = 1,435,678 × 1,435,678
  4. Step 4: Simplify right side
    656,118x = 2,061,171,319,684
  5. Step 5: Solve for x
    x = 2,061,171,319,684/656,118
  6. Step 6: Final answer
    x = 3,141,464.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.