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Finding the Third Proportional to 745,960 and 1,609,855

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Solution

The third proportional to 745,960 and 1,609,855 is: 3,474,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,960 : 1,609,855 = 1,609,855 : x
  2. Step 2: Convert to fraction form
    745,960/1,609,855 = 1,609,855/x
  3. Step 3: Cross multiply
    745,960x = 1,609,855 × 1,609,855
  4. Step 4: Simplify right side
    745,960x = 2,591,633,121,025
  5. Step 5: Solve for x
    x = 2,591,633,121,025/745,960
  6. Step 6: Final answer
    x = 3,474,225.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.