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Finding the Third Proportional to 947,600 and 2,025,440

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Solution

The third proportional to 947,600 and 2,025,440 is: 4,329,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,600 : 2,025,440 = 2,025,440 : x
  2. Step 2: Convert to fraction form
    947,600/2,025,440 = 2,025,440/x
  3. Step 3: Cross multiply
    947,600x = 2,025,440 × 2,025,440
  4. Step 4: Simplify right side
    947,600x = 4,102,407,193,600
  5. Step 5: Solve for x
    x = 4,102,407,193,600/947,600
  6. Step 6: Final answer
    x = 4,329,260.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.