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Finding the Third Proportional to 665,452 and 1,023,880

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Solution

The third proportional to 665,452 and 1,023,880 is: 1,575,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,452 : 1,023,880 = 1,023,880 : x
  2. Step 2: Convert to fraction form
    665,452/1,023,880 = 1,023,880/x
  3. Step 3: Cross multiply
    665,452x = 1,023,880 × 1,023,880
  4. Step 4: Simplify right side
    665,452x = 1,048,330,254,400
  5. Step 5: Solve for x
    x = 1,048,330,254,400/665,452
  6. Step 6: Final answer
    x = 1,575,365.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.