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Finding the Third Proportional to 538,130 and 1,181,220

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Solution

The third proportional to 538,130 and 1,181,220 is: 2,592,832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,130 : 1,181,220 = 1,181,220 : x
  2. Step 2: Convert to fraction form
    538,130/1,181,220 = 1,181,220/x
  3. Step 3: Cross multiply
    538,130x = 1,181,220 × 1,181,220
  4. Step 4: Simplify right side
    538,130x = 1,395,280,688,400
  5. Step 5: Solve for x
    x = 1,395,280,688,400/538,130
  6. Step 6: Final answer
    x = 2,592,832.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.