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Finding the Third Proportional to 1,295,064 and 2,027,130

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Solution

The third proportional to 1,295,064 and 2,027,130 is: 3,173,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,064 : 2,027,130 = 2,027,130 : x
  2. Step 2: Convert to fraction form
    1,295,064/2,027,130 = 2,027,130/x
  3. Step 3: Cross multiply
    1,295,064x = 2,027,130 × 2,027,130
  4. Step 4: Simplify right side
    1,295,064x = 4,109,256,036,900
  5. Step 5: Solve for x
    x = 4,109,256,036,900/1,295,064
  6. Step 6: Final answer
    x = 3,173,013.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.