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Finding the Third Proportional to 967,188 and 1,453,213

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Solution

The third proportional to 967,188 and 1,453,213 is: 2,183,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,188 : 1,453,213 = 1,453,213 : x
  2. Step 2: Convert to fraction form
    967,188/1,453,213 = 1,453,213/x
  3. Step 3: Cross multiply
    967,188x = 1,453,213 × 1,453,213
  4. Step 4: Simplify right side
    967,188x = 2,111,828,023,369
  5. Step 5: Solve for x
    x = 2,111,828,023,369/967,188
  6. Step 6: Final answer
    x = 2,183,472.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.