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Finding the Third Proportional to 745,328 and 1,608,684

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Solution

The third proportional to 745,328 and 1,608,684 is: 3,472,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,328 : 1,608,684 = 1,608,684 : x
  2. Step 2: Convert to fraction form
    745,328/1,608,684 = 1,608,684/x
  3. Step 3: Cross multiply
    745,328x = 1,608,684 × 1,608,684
  4. Step 4: Simplify right side
    745,328x = 2,587,864,211,856
  5. Step 5: Solve for x
    x = 2,587,864,211,856/745,328
  6. Step 6: Final answer
    x = 3,472,114.57

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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.