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Finding the Third Proportional to 1,214,196 and 2,664,588

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Solution

The third proportional to 1,214,196 and 2,664,588 is: 5,847,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,196 : 2,664,588 = 2,664,588 : x
  2. Step 2: Convert to fraction form
    1,214,196/2,664,588 = 2,664,588/x
  3. Step 3: Cross multiply
    1,214,196x = 2,664,588 × 2,664,588
  4. Step 4: Simplify right side
    1,214,196x = 7,100,029,209,744
  5. Step 5: Solve for x
    x = 7,100,029,209,744/1,214,196
  6. Step 6: Final answer
    x = 5,847,514.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.