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Finding the Third Proportional to 791,030 and 1,638,136

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Solution

The third proportional to 791,030 and 1,638,136 is: 3,392,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,030 : 1,638,136 = 1,638,136 : x
  2. Step 2: Convert to fraction form
    791,030/1,638,136 = 1,638,136/x
  3. Step 3: Cross multiply
    791,030x = 1,638,136 × 1,638,136
  4. Step 4: Simplify right side
    791,030x = 2,683,489,554,496
  5. Step 5: Solve for x
    x = 2,683,489,554,496/791,030
  6. Step 6: Final answer
    x = 3,392,399.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.