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Finding the Third Proportional to 2,411,102.50 and 3,673,181

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Solution

The third proportional to 2,411,102.50 and 3,673,181 is: 5,595,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,102.50 : 3,673,181 = 3,673,181 : x
  2. Step 2: Convert to fraction form
    2,411,102.50/3,673,181 = 3,673,181/x
  3. Step 3: Cross multiply
    2,411,102.50x = 3,673,181 × 3,673,181
  4. Step 4: Simplify right side
    2,411,102.50x = 13,492,258,658,761
  5. Step 5: Solve for x
    x = 13,492,258,658,761/2,411,102.50
  6. Step 6: Final answer
    x = 5,595,887.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.