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Finding the Third Proportional to 946,267.63 and 2,075,735.43

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Solution

The third proportional to 946,267.63 and 2,075,735.43 is: 4,553,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,267.63 : 2,075,735.43 = 2,075,735.43 : x
  2. Step 2: Convert to fraction form
    946,267.63/2,075,735.43 = 2,075,735.43/x
  3. Step 3: Cross multiply
    946,267.63x = 2,075,735.43 × 2,075,735.43
  4. Step 4: Simplify right side
    946,267.63x = 4,308,677,557,843.06
  5. Step 5: Solve for x
    x = 4,308,677,557,843.06/946,267.63
  6. Step 6: Final answer
    x = 4,553,339.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.