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Finding the Third Proportional to 451,091 and 972,697

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Solution

The third proportional to 451,091 and 972,697 is: 2,097,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,091 : 972,697 = 972,697 : x
  2. Step 2: Convert to fraction form
    451,091/972,697 = 972,697/x
  3. Step 3: Cross multiply
    451,091x = 972,697 × 972,697
  4. Step 4: Simplify right side
    451,091x = 946,139,453,809
  5. Step 5: Solve for x
    x = 946,139,453,809/451,091
  6. Step 6: Final answer
    x = 2,097,446.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.