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Finding the Third Proportional to 1,686,363 and 3,680,912

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Solution

The third proportional to 1,686,363 and 3,680,912 is: 8,034,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,363 : 3,680,912 = 3,680,912 : x
  2. Step 2: Convert to fraction form
    1,686,363/3,680,912 = 3,680,912/x
  3. Step 3: Cross multiply
    1,686,363x = 3,680,912 × 3,680,912
  4. Step 4: Simplify right side
    1,686,363x = 13,549,113,151,744
  5. Step 5: Solve for x
    x = 13,549,113,151,744/1,686,363
  6. Step 6: Final answer
    x = 8,034,517.57

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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.