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Finding the Third Proportional to 482,961 and 1,048,953

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Solution

The third proportional to 482,961 and 1,048,953 is: 2,278,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,961 : 1,048,953 = 1,048,953 : x
  2. Step 2: Convert to fraction form
    482,961/1,048,953 = 1,048,953/x
  3. Step 3: Cross multiply
    482,961x = 1,048,953 × 1,048,953
  4. Step 4: Simplify right side
    482,961x = 1,100,302,396,209
  5. Step 5: Solve for x
    x = 1,100,302,396,209/482,961
  6. Step 6: Final answer
    x = 2,278,242.75

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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.