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Finding the Third Proportional to 437,342 and 947,224

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Solution

The third proportional to 437,342 and 947,224 is: 2,051,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,342 : 947,224 = 947,224 : x
  2. Step 2: Convert to fraction form
    437,342/947,224 = 947,224/x
  3. Step 3: Cross multiply
    437,342x = 947,224 × 947,224
  4. Step 4: Simplify right side
    437,342x = 897,233,306,176
  5. Step 5: Solve for x
    x = 897,233,306,176/437,342
  6. Step 6: Final answer
    x = 2,051,559.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.