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Finding the Third Proportional to 538,230 and 1,132,224

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Solution

The third proportional to 538,230 and 1,132,224 is: 2,381,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,230 : 1,132,224 = 1,132,224 : x
  2. Step 2: Convert to fraction form
    538,230/1,132,224 = 1,132,224/x
  3. Step 3: Cross multiply
    538,230x = 1,132,224 × 1,132,224
  4. Step 4: Simplify right side
    538,230x = 1,281,931,186,176
  5. Step 5: Solve for x
    x = 1,281,931,186,176/538,230
  6. Step 6: Final answer
    x = 2,381,753.50

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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.