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Finding the Third Proportional to 1,685,364 and 3,686,034

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Solution

The third proportional to 1,685,364 and 3,686,034 is: 8,061,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,364 : 3,686,034 = 3,686,034 : x
  2. Step 2: Convert to fraction form
    1,685,364/3,686,034 = 3,686,034/x
  3. Step 3: Cross multiply
    1,685,364x = 3,686,034 × 3,686,034
  4. Step 4: Simplify right side
    1,685,364x = 13,586,846,649,156
  5. Step 5: Solve for x
    x = 13,586,846,649,156/1,685,364
  6. Step 6: Final answer
    x = 8,061,668.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.