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Finding the Third Proportional to 714,161 and 947,797

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Solution

The third proportional to 714,161 and 947,797 is: 1,257,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,161 : 947,797 = 947,797 : x
  2. Step 2: Convert to fraction form
    714,161/947,797 = 947,797/x
  3. Step 3: Cross multiply
    714,161x = 947,797 × 947,797
  4. Step 4: Simplify right side
    714,161x = 898,319,153,209
  5. Step 5: Solve for x
    x = 898,319,153,209/714,161
  6. Step 6: Final answer
    x = 1,257,866.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.