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Finding the Third Proportional to 757,740 and 1,633,536

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Solution

The third proportional to 757,740 and 1,633,536 is: 3,521,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,740 : 1,633,536 = 1,633,536 : x
  2. Step 2: Convert to fraction form
    757,740/1,633,536 = 1,633,536/x
  3. Step 3: Cross multiply
    757,740x = 1,633,536 × 1,633,536
  4. Step 4: Simplify right side
    757,740x = 2,668,439,863,296
  5. Step 5: Solve for x
    x = 2,668,439,863,296/757,740
  6. Step 6: Final answer
    x = 3,521,577.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.