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Finding the Third Proportional to 454,820.06 and 965,089.69

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Solution

The third proportional to 454,820.06 and 965,089.69 is: 2,047,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,820.06 : 965,089.69 = 965,089.69 : x
  2. Step 2: Convert to fraction form
    454,820.06/965,089.69 = 965,089.69/x
  3. Step 3: Cross multiply
    454,820.06x = 965,089.69 × 965,089.69
  4. Step 4: Simplify right side
    454,820.06x = 931,398,104,918.85
  5. Step 5: Solve for x
    x = 931,398,104,918.85/454,820.06
  6. Step 6: Final answer
    x = 2,047,838.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.