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Finding the Third Proportional to 945,415 and 1,273,764

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Solution

The third proportional to 945,415 and 1,273,764 is: 1,716,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,415 : 1,273,764 = 1,273,764 : x
  2. Step 2: Convert to fraction form
    945,415/1,273,764 = 1,273,764/x
  3. Step 3: Cross multiply
    945,415x = 1,273,764 × 1,273,764
  4. Step 4: Simplify right side
    945,415x = 1,622,474,727,696
  5. Step 5: Solve for x
    x = 1,622,474,727,696/945,415
  6. Step 6: Final answer
    x = 1,716,150.82

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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.