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Finding the Third Proportional to 779,868 and 1,684,152

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Solution

The third proportional to 779,868 and 1,684,152 is: 3,636,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,868 : 1,684,152 = 1,684,152 : x
  2. Step 2: Convert to fraction form
    779,868/1,684,152 = 1,684,152/x
  3. Step 3: Cross multiply
    779,868x = 1,684,152 × 1,684,152
  4. Step 4: Simplify right side
    779,868x = 2,836,367,959,104
  5. Step 5: Solve for x
    x = 2,836,367,959,104/779,868
  6. Step 6: Final answer
    x = 3,636,984.67

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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.