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Finding the Third Proportional to 902,403 and 1,926,579

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Solution

The third proportional to 902,403 and 1,926,579 is: 4,113,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,403 : 1,926,579 = 1,926,579 : x
  2. Step 2: Convert to fraction form
    902,403/1,926,579 = 1,926,579/x
  3. Step 3: Cross multiply
    902,403x = 1,926,579 × 1,926,579
  4. Step 4: Simplify right side
    902,403x = 3,711,706,643,241
  5. Step 5: Solve for x
    x = 3,711,706,643,241/902,403
  6. Step 6: Final answer
    x = 4,113,136.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.