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Finding the Third Proportional to 488,336 and 1,014,097

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Solution

The third proportional to 488,336 and 1,014,097 is: 2,105,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,336 : 1,014,097 = 1,014,097 : x
  2. Step 2: Convert to fraction form
    488,336/1,014,097 = 1,014,097/x
  3. Step 3: Cross multiply
    488,336x = 1,014,097 × 1,014,097
  4. Step 4: Simplify right side
    488,336x = 1,028,392,725,409
  5. Step 5: Solve for x
    x = 1,028,392,725,409/488,336
  6. Step 6: Final answer
    x = 2,105,912.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.