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Finding the Third Proportional to 670,000 and 1,458,100

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Solution

The third proportional to 670,000 and 1,458,100 is: 3,173,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,000 : 1,458,100 = 1,458,100 : x
  2. Step 2: Convert to fraction form
    670,000/1,458,100 = 1,458,100/x
  3. Step 3: Cross multiply
    670,000x = 1,458,100 × 1,458,100
  4. Step 4: Simplify right side
    670,000x = 2,126,055,610,000
  5. Step 5: Solve for x
    x = 2,126,055,610,000/670,000
  6. Step 6: Final answer
    x = 3,173,217.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.