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Finding the Third Proportional to 734,001 and 1,072,677

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Solution

The third proportional to 734,001 and 1,072,677 is: 1,567,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,001 : 1,072,677 = 1,072,677 : x
  2. Step 2: Convert to fraction form
    734,001/1,072,677 = 1,072,677/x
  3. Step 3: Cross multiply
    734,001x = 1,072,677 × 1,072,677
  4. Step 4: Simplify right side
    734,001x = 1,150,635,946,329
  5. Step 5: Solve for x
    x = 1,150,635,946,329/734,001
  6. Step 6: Final answer
    x = 1,567,621.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.