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Finding the Third Proportional to 774,780 and 1,686,800

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Solution

The third proportional to 774,780 and 1,686,800 is: 3,672,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,780 : 1,686,800 = 1,686,800 : x
  2. Step 2: Convert to fraction form
    774,780/1,686,800 = 1,686,800/x
  3. Step 3: Cross multiply
    774,780x = 1,686,800 × 1,686,800
  4. Step 4: Simplify right side
    774,780x = 2,845,294,240,000
  5. Step 5: Solve for x
    x = 2,845,294,240,000/774,780
  6. Step 6: Final answer
    x = 3,672,389.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.