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Finding the Third Proportional to 768,324 and 1,676,616

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Solution

The third proportional to 768,324 and 1,676,616 is: 3,658,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,324 : 1,676,616 = 1,676,616 : x
  2. Step 2: Convert to fraction form
    768,324/1,676,616 = 1,676,616/x
  3. Step 3: Cross multiply
    768,324x = 1,676,616 × 1,676,616
  4. Step 4: Simplify right side
    768,324x = 2,811,041,211,456
  5. Step 5: Solve for x
    x = 2,811,041,211,456/768,324
  6. Step 6: Final answer
    x = 3,658,666.41

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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.