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Finding the Third Proportional to 921,676 and 1,410,580

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Solution

The third proportional to 921,676 and 1,410,580 is: 2,158,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,676 : 1,410,580 = 1,410,580 : x
  2. Step 2: Convert to fraction form
    921,676/1,410,580 = 1,410,580/x
  3. Step 3: Cross multiply
    921,676x = 1,410,580 × 1,410,580
  4. Step 4: Simplify right side
    921,676x = 1,989,735,936,400
  5. Step 5: Solve for x
    x = 1,989,735,936,400/921,676
  6. Step 6: Final answer
    x = 2,158,823.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.