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Finding the Third Proportional to 701,780 and 1,065,804

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Solution

The third proportional to 701,780 and 1,065,804 is: 1,618,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,780 : 1,065,804 = 1,065,804 : x
  2. Step 2: Convert to fraction form
    701,780/1,065,804 = 1,065,804/x
  3. Step 3: Cross multiply
    701,780x = 1,065,804 × 1,065,804
  4. Step 4: Simplify right side
    701,780x = 1,135,938,166,416
  5. Step 5: Solve for x
    x = 1,135,938,166,416/701,780
  6. Step 6: Final answer
    x = 1,618,652.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.