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Finding the Third Proportional to 437,892 and 947,754

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Solution

The third proportional to 437,892 and 947,754 is: 2,051,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,892 : 947,754 = 947,754 : x
  2. Step 2: Convert to fraction form
    437,892/947,754 = 947,754/x
  3. Step 3: Cross multiply
    437,892x = 947,754 × 947,754
  4. Step 4: Simplify right side
    437,892x = 898,237,644,516
  5. Step 5: Solve for x
    x = 898,237,644,516/437,892
  6. Step 6: Final answer
    x = 2,051,276.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.