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Finding the Third Proportional to 618,564 and 947,814

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Solution

The third proportional to 618,564 and 947,814 is: 1,452,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,564 : 947,814 = 947,814 : x
  2. Step 2: Convert to fraction form
    618,564/947,814 = 947,814/x
  3. Step 3: Cross multiply
    618,564x = 947,814 × 947,814
  4. Step 4: Simplify right side
    618,564x = 898,351,378,596
  5. Step 5: Solve for x
    x = 898,351,378,596/618,564
  6. Step 6: Final answer
    x = 1,452,317.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.