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Finding the Third Proportional to 501,304.31 and 1,043,918.63

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Solution

The third proportional to 501,304.31 and 1,043,918.63 is: 2,173,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,304.31 : 1,043,918.63 = 1,043,918.63 : x
  2. Step 2: Convert to fraction form
    501,304.31/1,043,918.63 = 1,043,918.63/x
  3. Step 3: Cross multiply
    501,304.31x = 1,043,918.63 × 1,043,918.63
  4. Step 4: Simplify right side
    501,304.31x = 1,089,766,095,621.89
  5. Step 5: Solve for x
    x = 1,089,766,095,621.89/501,304.31
  6. Step 6: Final answer
    x = 2,173,861.40

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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.