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Finding the Third Proportional to 1,689,368 and 3,642,796

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Solution

The third proportional to 1,689,368 and 3,642,796 is: 7,854,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,368 : 3,642,796 = 3,642,796 : x
  2. Step 2: Convert to fraction form
    1,689,368/3,642,796 = 3,642,796/x
  3. Step 3: Cross multiply
    1,689,368x = 3,642,796 × 3,642,796
  4. Step 4: Simplify right side
    1,689,368x = 13,269,962,697,616
  5. Step 5: Solve for x
    x = 13,269,962,697,616/1,689,368
  6. Step 6: Final answer
    x = 7,854,986.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.