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Finding the Third Proportional to 1,180,992.75 and 2,590,797

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Solution

The third proportional to 1,180,992.75 and 2,590,797 is: 5,683,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,992.75 : 2,590,797 = 2,590,797 : x
  2. Step 2: Convert to fraction form
    1,180,992.75/2,590,797 = 2,590,797/x
  3. Step 3: Cross multiply
    1,180,992.75x = 2,590,797 × 2,590,797
  4. Step 4: Simplify right side
    1,180,992.75x = 6,712,229,095,209
  5. Step 5: Solve for x
    x = 6,712,229,095,209/1,180,992.75
  6. Step 6: Final answer
    x = 5,683,548.10

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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.