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Finding the Third Proportional to 732,660 and 1,562,094

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Solution

The third proportional to 732,660 and 1,562,094 is: 3,330,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,660 : 1,562,094 = 1,562,094 : x
  2. Step 2: Convert to fraction form
    732,660/1,562,094 = 1,562,094/x
  3. Step 3: Cross multiply
    732,660x = 1,562,094 × 1,562,094
  4. Step 4: Simplify right side
    732,660x = 2,440,137,664,836
  5. Step 5: Solve for x
    x = 2,440,137,664,836/732,660
  6. Step 6: Final answer
    x = 3,330,518.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.