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Finding the Third Proportional to 946,333.13 and 2,010,969.28

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Solution

The third proportional to 946,333.13 and 2,010,969.28 is: 4,273,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,333.13 : 2,010,969.28 = 2,010,969.28 : x
  2. Step 2: Convert to fraction form
    946,333.13/2,010,969.28 = 2,010,969.28/x
  3. Step 3: Cross multiply
    946,333.13x = 2,010,969.28 × 2,010,969.28
  4. Step 4: Simplify right side
    946,333.13x = 4,043,997,450,131.14
  5. Step 5: Solve for x
    x = 4,043,997,450,131.14/946,333.13
  6. Step 6: Final answer
    x = 4,273,333.93

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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.