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Finding the Third Proportional to 1,197,023.75 and 1,679,661.38

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Solution

The third proportional to 1,197,023.75 and 1,679,661.38 is: 2,356,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,023.75 : 1,679,661.38 = 1,679,661.38 : x
  2. Step 2: Convert to fraction form
    1,197,023.75/1,679,661.38 = 1,679,661.38/x
  3. Step 3: Cross multiply
    1,197,023.75x = 1,679,661.38 × 1,679,661.38
  4. Step 4: Simplify right side
    1,197,023.75x = 2,821,262,334,666.89
  5. Step 5: Solve for x
    x = 2,821,262,334,666.89/1,197,023.75
  6. Step 6: Final answer
    x = 2,356,897.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.