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Finding the Third Proportional to 946,880 and 1,279,712

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Solution

The third proportional to 946,880 and 1,279,712 is: 1,729,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,880 : 1,279,712 = 1,279,712 : x
  2. Step 2: Convert to fraction form
    946,880/1,279,712 = 1,279,712/x
  3. Step 3: Cross multiply
    946,880x = 1,279,712 × 1,279,712
  4. Step 4: Simplify right side
    946,880x = 1,637,662,802,944
  5. Step 5: Solve for x
    x = 1,637,662,802,944/946,880
  6. Step 6: Final answer
    x = 1,729,535.74

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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.