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Finding the Third Proportional to 1,002,453.75 and 1,645,677

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Solution

The third proportional to 1,002,453.75 and 1,645,677 is: 2,701,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,453.75 : 1,645,677 = 1,645,677 : x
  2. Step 2: Convert to fraction form
    1,002,453.75/1,645,677 = 1,645,677/x
  3. Step 3: Cross multiply
    1,002,453.75x = 1,645,677 × 1,645,677
  4. Step 4: Simplify right side
    1,002,453.75x = 2,708,252,788,329
  5. Step 5: Solve for x
    x = 2,708,252,788,329/1,002,453.75
  6. Step 6: Final answer
    x = 2,701,623.68

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.