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Finding the Third Proportional to 1,657,639.21 and 2,476,232.89

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Solution

The third proportional to 1,657,639.21 and 2,476,232.89 is: 3,699,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,639.21 : 2,476,232.89 = 2,476,232.89 : x
  2. Step 2: Convert to fraction form
    1,657,639.21/2,476,232.89 = 2,476,232.89/x
  3. Step 3: Cross multiply
    1,657,639.21x = 2,476,232.89 × 2,476,232.89
  4. Step 4: Simplify right side
    1,657,639.21x = 6,131,729,304,431.14
  5. Step 5: Solve for x
    x = 6,131,729,304,431.14/1,657,639.21
  6. Step 6: Final answer
    x = 3,699,073.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.