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Finding the Third Proportional to 819,636 and 1,265,806

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Solution

The third proportional to 819,636 and 1,265,806 is: 1,954,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,636 : 1,265,806 = 1,265,806 : x
  2. Step 2: Convert to fraction form
    819,636/1,265,806 = 1,265,806/x
  3. Step 3: Cross multiply
    819,636x = 1,265,806 × 1,265,806
  4. Step 4: Simplify right side
    819,636x = 1,602,264,829,636
  5. Step 5: Solve for x
    x = 1,602,264,829,636/819,636
  6. Step 6: Final answer
    x = 1,954,849.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.