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Finding the Third Proportional to 772,077 and 1,693,602

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Solution

The third proportional to 772,077 and 1,693,602 is: 3,715,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,077 : 1,693,602 = 1,693,602 : x
  2. Step 2: Convert to fraction form
    772,077/1,693,602 = 1,693,602/x
  3. Step 3: Cross multiply
    772,077x = 1,693,602 × 1,693,602
  4. Step 4: Simplify right side
    772,077x = 2,868,287,734,404
  5. Step 5: Solve for x
    x = 2,868,287,734,404/772,077
  6. Step 6: Final answer
    x = 3,715,028.08

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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.