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Finding the Third Proportional to 371,946 and 802,926

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Solution

The third proportional to 371,946 and 802,926 is: 1,733,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,946 : 802,926 = 802,926 : x
  2. Step 2: Convert to fraction form
    371,946/802,926 = 802,926/x
  3. Step 3: Cross multiply
    371,946x = 802,926 × 802,926
  4. Step 4: Simplify right side
    371,946x = 644,690,161,476
  5. Step 5: Solve for x
    x = 644,690,161,476/371,946
  6. Step 6: Final answer
    x = 1,733,289.68

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Why These Related Problems?

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