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Finding the Third Proportional to 945,424 and 1,273,778

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Solution

The third proportional to 945,424 and 1,273,778 is: 1,716,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,424 : 1,273,778 = 1,273,778 : x
  2. Step 2: Convert to fraction form
    945,424/1,273,778 = 1,273,778/x
  3. Step 3: Cross multiply
    945,424x = 1,273,778 × 1,273,778
  4. Step 4: Simplify right side
    945,424x = 1,622,510,393,284
  5. Step 5: Solve for x
    x = 1,622,510,393,284/945,424
  6. Step 6: Final answer
    x = 1,716,172.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.