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Finding the Third Proportional to 662,078 and 1,403,600

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Solution

The third proportional to 662,078 and 1,403,600 is: 2,975,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,078 : 1,403,600 = 1,403,600 : x
  2. Step 2: Convert to fraction form
    662,078/1,403,600 = 1,403,600/x
  3. Step 3: Cross multiply
    662,078x = 1,403,600 × 1,403,600
  4. Step 4: Simplify right side
    662,078x = 1,970,092,960,000
  5. Step 5: Solve for x
    x = 1,970,092,960,000/662,078
  6. Step 6: Final answer
    x = 2,975,620.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.