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Finding the Third Proportional to 946,971 and 1,471,851

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Solution

The third proportional to 946,971 and 1,471,851 is: 2,287,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,971 : 1,471,851 = 1,471,851 : x
  2. Step 2: Convert to fraction form
    946,971/1,471,851 = 1,471,851/x
  3. Step 3: Cross multiply
    946,971x = 1,471,851 × 1,471,851
  4. Step 4: Simplify right side
    946,971x = 2,166,345,366,201
  5. Step 5: Solve for x
    x = 2,166,345,366,201/946,971
  6. Step 6: Final answer
    x = 2,287,657.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.