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Finding the Third Proportional to 1,617,906 and 3,521,094

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Solution

The third proportional to 1,617,906 and 3,521,094 is: 7,663,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,906 : 3,521,094 = 3,521,094 : x
  2. Step 2: Convert to fraction form
    1,617,906/3,521,094 = 3,521,094/x
  3. Step 3: Cross multiply
    1,617,906x = 3,521,094 × 3,521,094
  4. Step 4: Simplify right side
    1,617,906x = 12,398,102,956,836
  5. Step 5: Solve for x
    x = 12,398,102,956,836/1,617,906
  6. Step 6: Final answer
    x = 7,663,055.18

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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.