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Finding the Third Proportional to 772,692.75 and 1,693,008

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Solution

The third proportional to 772,692.75 and 1,693,008 is: 3,709,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,692.75 : 1,693,008 = 1,693,008 : x
  2. Step 2: Convert to fraction form
    772,692.75/1,693,008 = 1,693,008/x
  3. Step 3: Cross multiply
    772,692.75x = 1,693,008 × 1,693,008
  4. Step 4: Simplify right side
    772,692.75x = 2,866,276,088,064
  5. Step 5: Solve for x
    x = 2,866,276,088,064/772,692.75
  6. Step 6: Final answer
    x = 3,709,464.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.