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Finding the Third Proportional to 702,060 and 1,458,096

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Solution

The third proportional to 702,060 and 1,458,096 is: 3,028,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,060 : 1,458,096 = 1,458,096 : x
  2. Step 2: Convert to fraction form
    702,060/1,458,096 = 1,458,096/x
  3. Step 3: Cross multiply
    702,060x = 1,458,096 × 1,458,096
  4. Step 4: Simplify right side
    702,060x = 2,126,043,945,216
  5. Step 5: Solve for x
    x = 2,126,043,945,216/702,060
  6. Step 6: Final answer
    x = 3,028,293.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.