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Finding the Third Proportional to 1,314,498 and 2,116,323

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Solution

The third proportional to 1,314,498 and 2,116,323 is: 3,407,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,498 : 2,116,323 = 2,116,323 : x
  2. Step 2: Convert to fraction form
    1,314,498/2,116,323 = 2,116,323/x
  3. Step 3: Cross multiply
    1,314,498x = 2,116,323 × 2,116,323
  4. Step 4: Simplify right side
    1,314,498x = 4,478,823,040,329
  5. Step 5: Solve for x
    x = 4,478,823,040,329/1,314,498
  6. Step 6: Final answer
    x = 3,407,249.79

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.