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Finding the Third Proportional to 732,652 and 1,562,080

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Solution

The third proportional to 732,652 and 1,562,080 is: 3,330,495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,652 : 1,562,080 = 1,562,080 : x
  2. Step 2: Convert to fraction form
    732,652/1,562,080 = 1,562,080/x
  3. Step 3: Cross multiply
    732,652x = 1,562,080 × 1,562,080
  4. Step 4: Simplify right side
    732,652x = 2,440,093,926,400
  5. Step 5: Solve for x
    x = 2,440,093,926,400/732,652
  6. Step 6: Final answer
    x = 3,330,495.14

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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.