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Finding the Third Proportional to 1,997,431 and 4,314,090

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Solution

The third proportional to 1,997,431 and 4,314,090 is: 9,317,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,431 : 4,314,090 = 4,314,090 : x
  2. Step 2: Convert to fraction form
    1,997,431/4,314,090 = 4,314,090/x
  3. Step 3: Cross multiply
    1,997,431x = 4,314,090 × 4,314,090
  4. Step 4: Simplify right side
    1,997,431x = 18,611,372,528,100
  5. Step 5: Solve for x
    x = 18,611,372,528,100/1,997,431
  6. Step 6: Final answer
    x = 9,317,654.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.