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Finding the Third Proportional to 769,896 and 1,675,248

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Solution

The third proportional to 769,896 and 1,675,248 is: 3,645,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,896 : 1,675,248 = 1,675,248 : x
  2. Step 2: Convert to fraction form
    769,896/1,675,248 = 1,675,248/x
  3. Step 3: Cross multiply
    769,896x = 1,675,248 × 1,675,248
  4. Step 4: Simplify right side
    769,896x = 2,806,455,861,504
  5. Step 5: Solve for x
    x = 2,806,455,861,504/769,896
  6. Step 6: Final answer
    x = 3,645,240.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.