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Finding the Third Proportional to 1,686,650 and 3,435,778

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Solution

The third proportional to 1,686,650 and 3,435,778 is: 6,998,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,650 : 3,435,778 = 3,435,778 : x
  2. Step 2: Convert to fraction form
    1,686,650/3,435,778 = 3,435,778/x
  3. Step 3: Cross multiply
    1,686,650x = 3,435,778 × 3,435,778
  4. Step 4: Simplify right side
    1,686,650x = 11,804,570,465,284
  5. Step 5: Solve for x
    x = 11,804,570,465,284/1,686,650
  6. Step 6: Final answer
    x = 6,998,826.35

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.