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Finding the Third Proportional to 656,170 and 1,430,932

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Solution

The third proportional to 656,170 and 1,430,932 is: 3,120,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,170 : 1,430,932 = 1,430,932 : x
  2. Step 2: Convert to fraction form
    656,170/1,430,932 = 1,430,932/x
  3. Step 3: Cross multiply
    656,170x = 1,430,932 × 1,430,932
  4. Step 4: Simplify right side
    656,170x = 2,047,566,388,624
  5. Step 5: Solve for x
    x = 2,047,566,388,624/656,170
  6. Step 6: Final answer
    x = 3,120,481.57

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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.