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Finding the Third Proportional to 481,533 and 1,043,312

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Solution

The third proportional to 481,533 and 1,043,312 is: 2,260,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,533 : 1,043,312 = 1,043,312 : x
  2. Step 2: Convert to fraction form
    481,533/1,043,312 = 1,043,312/x
  3. Step 3: Cross multiply
    481,533x = 1,043,312 × 1,043,312
  4. Step 4: Simplify right side
    481,533x = 1,088,499,929,344
  5. Step 5: Solve for x
    x = 1,088,499,929,344/481,533
  6. Step 6: Final answer
    x = 2,260,488.75

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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.