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Finding the Third Proportional to 776,378.50 and 1,646,069

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Solution

The third proportional to 776,378.50 and 1,646,069 is: 3,489,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,378.50 : 1,646,069 = 1,646,069 : x
  2. Step 2: Convert to fraction form
    776,378.50/1,646,069 = 1,646,069/x
  3. Step 3: Cross multiply
    776,378.50x = 1,646,069 × 1,646,069
  4. Step 4: Simplify right side
    776,378.50x = 2,709,543,152,761
  5. Step 5: Solve for x
    x = 2,709,543,152,761/776,378.50
  6. Step 6: Final answer
    x = 3,489,977.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.