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Finding the Third Proportional to 533,428 and 1,158,438

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Solution

The third proportional to 533,428 and 1,158,438 is: 2,515,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,428 : 1,158,438 = 1,158,438 : x
  2. Step 2: Convert to fraction form
    533,428/1,158,438 = 1,158,438/x
  3. Step 3: Cross multiply
    533,428x = 1,158,438 × 1,158,438
  4. Step 4: Simplify right side
    533,428x = 1,341,978,599,844
  5. Step 5: Solve for x
    x = 1,341,978,599,844/533,428
  6. Step 6: Final answer
    x = 2,515,763.33

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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.