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Finding the Third Proportional to 1,705,616 and 3,669,376

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Solution

The third proportional to 1,705,616 and 3,669,376 is: 7,894,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,616 : 3,669,376 = 3,669,376 : x
  2. Step 2: Convert to fraction form
    1,705,616/3,669,376 = 3,669,376/x
  3. Step 3: Cross multiply
    1,705,616x = 3,669,376 × 3,669,376
  4. Step 4: Simplify right side
    1,705,616x = 13,464,320,229,376
  5. Step 5: Solve for x
    x = 13,464,320,229,376/1,705,616
  6. Step 6: Final answer
    x = 7,894,109.95

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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.