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Finding the Third Proportional to 732,663 and 1,562,100

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Solution

The third proportional to 732,663 and 1,562,100 is: 3,330,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,663 : 1,562,100 = 1,562,100 : x
  2. Step 2: Convert to fraction form
    732,663/1,562,100 = 1,562,100/x
  3. Step 3: Cross multiply
    732,663x = 1,562,100 × 1,562,100
  4. Step 4: Simplify right side
    732,663x = 2,440,156,410,000
  5. Step 5: Solve for x
    x = 2,440,156,410,000/732,663
  6. Step 6: Final answer
    x = 3,330,530.42

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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.