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Finding the Third Proportional to 735,077 and 1,501,258

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Solution

The third proportional to 735,077 and 1,501,258 is: 3,066,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,077 : 1,501,258 = 1,501,258 : x
  2. Step 2: Convert to fraction form
    735,077/1,501,258 = 1,501,258/x
  3. Step 3: Cross multiply
    735,077x = 1,501,258 × 1,501,258
  4. Step 4: Simplify right side
    735,077x = 2,253,775,582,564
  5. Step 5: Solve for x
    x = 2,253,775,582,564/735,077
  6. Step 6: Final answer
    x = 3,066,040.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.