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Finding the Third Proportional to 920,094.19 and 1,396,695.66

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Solution

The third proportional to 920,094.19 and 1,396,695.66 is: 2,120,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,094.19 : 1,396,695.66 = 1,396,695.66 : x
  2. Step 2: Convert to fraction form
    920,094.19/1,396,695.66 = 1,396,695.66/x
  3. Step 3: Cross multiply
    920,094.19x = 1,396,695.66 × 1,396,695.66
  4. Step 4: Simplify right side
    920,094.19x = 1,950,758,756,187.62
  5. Step 5: Solve for x
    x = 1,950,758,756,187.62/920,094.19
  6. Step 6: Final answer
    x = 2,120,172.89

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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.