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Finding the Third Proportional to 946,272 and 2,016,420

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Solution

The third proportional to 946,272 and 2,016,420 is: 4,296,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,272 : 2,016,420 = 2,016,420 : x
  2. Step 2: Convert to fraction form
    946,272/2,016,420 = 2,016,420/x
  3. Step 3: Cross multiply
    946,272x = 2,016,420 × 2,016,420
  4. Step 4: Simplify right side
    946,272x = 4,065,949,616,400
  5. Step 5: Solve for x
    x = 4,065,949,616,400/946,272
  6. Step 6: Final answer
    x = 4,296,808.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.