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Finding the Third Proportional to 1,297,640 and 2,847,890

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Solution

The third proportional to 1,297,640 and 2,847,890 is: 6,250,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,640 : 2,847,890 = 2,847,890 : x
  2. Step 2: Convert to fraction form
    1,297,640/2,847,890 = 2,847,890/x
  3. Step 3: Cross multiply
    1,297,640x = 2,847,890 × 2,847,890
  4. Step 4: Simplify right side
    1,297,640x = 8,110,477,452,100
  5. Step 5: Solve for x
    x = 8,110,477,452,100/1,297,640
  6. Step 6: Final answer
    x = 6,250,175.28

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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.