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Finding the Third Proportional to 482,857 and 1,039,346

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Solution

The third proportional to 482,857 and 1,039,346 is: 2,237,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,857 : 1,039,346 = 1,039,346 : x
  2. Step 2: Convert to fraction form
    482,857/1,039,346 = 1,039,346/x
  3. Step 3: Cross multiply
    482,857x = 1,039,346 × 1,039,346
  4. Step 4: Simplify right side
    482,857x = 1,080,240,107,716
  5. Step 5: Solve for x
    x = 1,080,240,107,716/482,857
  6. Step 6: Final answer
    x = 2,237,184.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.