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Finding the Third Proportional to 2,328,206 and 3,477,974.25

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Solution

The third proportional to 2,328,206 and 3,477,974.25 is: 5,195,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328,206 : 3,477,974.25 = 3,477,974.25 : x
  2. Step 2: Convert to fraction form
    2,328,206/3,477,974.25 = 3,477,974.25/x
  3. Step 3: Cross multiply
    2,328,206x = 3,477,974.25 × 3,477,974.25
  4. Step 4: Simplify right side
    2,328,206x = 12,096,304,883,663.06
  5. Step 5: Solve for x
    x = 12,096,304,883,663.06/2,328,206
  6. Step 6: Final answer
    x = 5,195,547.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.