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Finding the Third Proportional to 451,863 and 933,246

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Solution

The third proportional to 451,863 and 933,246 is: 1,927,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,863 : 933,246 = 933,246 : x
  2. Step 2: Convert to fraction form
    451,863/933,246 = 933,246/x
  3. Step 3: Cross multiply
    451,863x = 933,246 × 933,246
  4. Step 4: Simplify right side
    451,863x = 870,948,096,516
  5. Step 5: Solve for x
    x = 870,948,096,516/451,863
  6. Step 6: Final answer
    x = 1,927,460.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.