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Finding the Third Proportional to 533,305 and 1,162,473

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Solution

The third proportional to 533,305 and 1,162,473 is: 2,533,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,305 : 1,162,473 = 1,162,473 : x
  2. Step 2: Convert to fraction form
    533,305/1,162,473 = 1,162,473/x
  3. Step 3: Cross multiply
    533,305x = 1,162,473 × 1,162,473
  4. Step 4: Simplify right side
    533,305x = 1,351,343,475,729
  5. Step 5: Solve for x
    x = 1,351,343,475,729/533,305
  6. Step 6: Final answer
    x = 2,533,903.63

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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.