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Finding the Third Proportional to 2,661,075 and 4,169,639.25

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Solution

The third proportional to 2,661,075 and 4,169,639.25 is: 6,533,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661,075 : 4,169,639.25 = 4,169,639.25 : x
  2. Step 2: Convert to fraction form
    2,661,075/4,169,639.25 = 4,169,639.25/x
  3. Step 3: Cross multiply
    2,661,075x = 4,169,639.25 × 4,169,639.25
  4. Step 4: Simplify right side
    2,661,075x = 17,385,891,475,140.56
  5. Step 5: Solve for x
    x = 17,385,891,475,140.56/2,661,075
  6. Step 6: Final answer
    x = 6,533,409.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.