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Finding the Third Proportional to 533,447 and 1,158,478

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Solution

The third proportional to 533,447 and 1,158,478 is: 2,515,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,447 : 1,158,478 = 1,158,478 : x
  2. Step 2: Convert to fraction form
    533,447/1,158,478 = 1,158,478/x
  3. Step 3: Cross multiply
    533,447x = 1,158,478 × 1,158,478
  4. Step 4: Simplify right side
    533,447x = 1,342,071,276,484
  5. Step 5: Solve for x
    x = 1,342,071,276,484/533,447
  6. Step 6: Final answer
    x = 2,515,847.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.