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Finding the Third Proportional to 819,624 and 1,265,788

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Solution

The third proportional to 819,624 and 1,265,788 is: 1,954,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,624 : 1,265,788 = 1,265,788 : x
  2. Step 2: Convert to fraction form
    819,624/1,265,788 = 1,265,788/x
  3. Step 3: Cross multiply
    819,624x = 1,265,788 × 1,265,788
  4. Step 4: Simplify right side
    819,624x = 1,602,219,260,944
  5. Step 5: Solve for x
    x = 1,602,219,260,944/819,624
  6. Step 6: Final answer
    x = 1,954,822.29

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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.