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Finding the Third Proportional to 778,276 and 1,676,616

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Solution

The third proportional to 778,276 and 1,676,616 is: 3,611,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,276 : 1,676,616 = 1,676,616 : x
  2. Step 2: Convert to fraction form
    778,276/1,676,616 = 1,676,616/x
  3. Step 3: Cross multiply
    778,276x = 1,676,616 × 1,676,616
  4. Step 4: Simplify right side
    778,276x = 2,811,041,211,456
  5. Step 5: Solve for x
    x = 2,811,041,211,456/778,276
  6. Step 6: Final answer
    x = 3,611,882.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.