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Finding the Third Proportional to 1,180,981.25 and 2,590,777

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Solution

The third proportional to 1,180,981.25 and 2,590,777 is: 5,683,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,981.25 : 2,590,777 = 2,590,777 : x
  2. Step 2: Convert to fraction form
    1,180,981.25/2,590,777 = 2,590,777/x
  3. Step 3: Cross multiply
    1,180,981.25x = 2,590,777 × 2,590,777
  4. Step 4: Simplify right side
    1,180,981.25x = 6,712,125,463,729
  5. Step 5: Solve for x
    x = 6,712,125,463,729/1,180,981.25
  6. Step 6: Final answer
    x = 5,683,515.69

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Why These Related Problems?

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