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Finding the Third Proportional to 789,686 and 1,249,352

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Solution

The third proportional to 789,686 and 1,249,352 is: 1,976,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,686 : 1,249,352 = 1,249,352 : x
  2. Step 2: Convert to fraction form
    789,686/1,249,352 = 1,249,352/x
  3. Step 3: Cross multiply
    789,686x = 1,249,352 × 1,249,352
  4. Step 4: Simplify right side
    789,686x = 1,560,880,419,904
  5. Step 5: Solve for x
    x = 1,560,880,419,904/789,686
  6. Step 6: Final answer
    x = 1,976,583.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.