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Finding the Third Proportional to 820,688 and 1,852,104

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Solution

The third proportional to 820,688 and 1,852,104 is: 4,179,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,688 : 1,852,104 = 1,852,104 : x
  2. Step 2: Convert to fraction form
    820,688/1,852,104 = 1,852,104/x
  3. Step 3: Cross multiply
    820,688x = 1,852,104 × 1,852,104
  4. Step 4: Simplify right side
    820,688x = 3,430,289,226,816
  5. Step 5: Solve for x
    x = 3,430,289,226,816/820,688
  6. Step 6: Final answer
    x = 4,179,772.61

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.