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Finding the Third Proportional to 476,938 and 1,048,008

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Solution

The third proportional to 476,938 and 1,048,008 is: 2,302,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,938 : 1,048,008 = 1,048,008 : x
  2. Step 2: Convert to fraction form
    476,938/1,048,008 = 1,048,008/x
  3. Step 3: Cross multiply
    476,938x = 1,048,008 × 1,048,008
  4. Step 4: Simplify right side
    476,938x = 1,098,320,768,064
  5. Step 5: Solve for x
    x = 1,098,320,768,064/476,938
  6. Step 6: Final answer
    x = 2,302,858.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.