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Finding the Third Proportional to 482,938 and 1,048,844

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Solution

The third proportional to 482,938 and 1,048,844 is: 2,277,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,938 : 1,048,844 = 1,048,844 : x
  2. Step 2: Convert to fraction form
    482,938/1,048,844 = 1,048,844/x
  3. Step 3: Cross multiply
    482,938x = 1,048,844 × 1,048,844
  4. Step 4: Simplify right side
    482,938x = 1,100,073,736,336
  5. Step 5: Solve for x
    x = 1,100,073,736,336/482,938
  6. Step 6: Final answer
    x = 2,277,877.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.