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Finding the Third Proportional to 946,980 and 1,275,881

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Solution

The third proportional to 946,980 and 1,275,881 is: 1,719,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,980 : 1,275,881 = 1,275,881 : x
  2. Step 2: Convert to fraction form
    946,980/1,275,881 = 1,275,881/x
  3. Step 3: Cross multiply
    946,980x = 1,275,881 × 1,275,881
  4. Step 4: Simplify right side
    946,980x = 1,627,872,326,161
  5. Step 5: Solve for x
    x = 1,627,872,326,161/946,980
  6. Step 6: Final answer
    x = 1,719,014.47

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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.