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Finding the Third Proportional to 501,138 and 1,043,748

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Solution

The third proportional to 501,138 and 1,043,748 is: 2,173,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,138 : 1,043,748 = 1,043,748 : x
  2. Step 2: Convert to fraction form
    501,138/1,043,748 = 1,043,748/x
  3. Step 3: Cross multiply
    501,138x = 1,043,748 × 1,043,748
  4. Step 4: Simplify right side
    501,138x = 1,089,409,887,504
  5. Step 5: Solve for x
    x = 1,089,409,887,504/501,138
  6. Step 6: Final answer
    x = 2,173,872.04

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