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Finding the Third Proportional to 812,932 and 1,869,706

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Solution

The third proportional to 812,932 and 1,869,706 is: 4,300,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,932 : 1,869,706 = 1,869,706 : x
  2. Step 2: Convert to fraction form
    812,932/1,869,706 = 1,869,706/x
  3. Step 3: Cross multiply
    812,932x = 1,869,706 × 1,869,706
  4. Step 4: Simplify right side
    812,932x = 3,495,800,526,436
  5. Step 5: Solve for x
    x = 3,495,800,526,436/812,932
  6. Step 6: Final answer
    x = 4,300,237.32

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.