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Finding the Third Proportional to 1,184,546.74 and 1,732,396.57

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Solution

The third proportional to 1,184,546.74 and 1,732,396.57 is: 2,533,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,546.74 : 1,732,396.57 = 1,732,396.57 : x
  2. Step 2: Convert to fraction form
    1,184,546.74/1,732,396.57 = 1,732,396.57/x
  3. Step 3: Cross multiply
    1,184,546.74x = 1,732,396.57 × 1,732,396.57
  4. Step 4: Simplify right side
    1,184,546.74x = 3,001,197,876,830.51
  5. Step 5: Solve for x
    x = 3,001,197,876,830.51/1,184,546.74
  6. Step 6: Final answer
    x = 2,533,625.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.