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Finding the Third Proportional to 771,329 and 1,675,332

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Solution

The third proportional to 771,329 and 1,675,332 is: 3,638,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,329 : 1,675,332 = 1,675,332 : x
  2. Step 2: Convert to fraction form
    771,329/1,675,332 = 1,675,332/x
  3. Step 3: Cross multiply
    771,329x = 1,675,332 × 1,675,332
  4. Step 4: Simplify right side
    771,329x = 2,806,737,310,224
  5. Step 5: Solve for x
    x = 2,806,737,310,224/771,329
  6. Step 6: Final answer
    x = 3,638,832.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.