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Finding the Third Proportional to 538,202 and 1,132,168

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Solution

The third proportional to 538,202 and 1,132,168 is: 2,381,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,202 : 1,132,168 = 1,132,168 : x
  2. Step 2: Convert to fraction form
    538,202/1,132,168 = 1,132,168/x
  3. Step 3: Cross multiply
    538,202x = 1,132,168 × 1,132,168
  4. Step 4: Simplify right side
    538,202x = 1,281,804,380,224
  5. Step 5: Solve for x
    x = 1,281,804,380,224/538,202
  6. Step 6: Final answer
    x = 2,381,641.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.