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Finding the Third Proportional to 978,501 and 1,984,512

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Solution

The third proportional to 978,501 and 1,984,512 is: 4,024,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,501 : 1,984,512 = 1,984,512 : x
  2. Step 2: Convert to fraction form
    978,501/1,984,512 = 1,984,512/x
  3. Step 3: Cross multiply
    978,501x = 1,984,512 × 1,984,512
  4. Step 4: Simplify right side
    978,501x = 3,938,287,878,144
  5. Step 5: Solve for x
    x = 3,938,287,878,144/978,501
  6. Step 6: Final answer
    x = 4,024,817.43

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.