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Finding the Third Proportional to 2,363,620 and 5,186,779

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Solution

The third proportional to 2,363,620 and 5,186,779 is: 11,381,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363,620 : 5,186,779 = 5,186,779 : x
  2. Step 2: Convert to fraction form
    2,363,620/5,186,779 = 5,186,779/x
  3. Step 3: Cross multiply
    2,363,620x = 5,186,779 × 5,186,779
  4. Step 4: Simplify right side
    2,363,620x = 26,902,676,394,841
  5. Step 5: Solve for x
    x = 26,902,676,394,841/2,363,620
  6. Step 6: Final answer
    x = 11,381,980.35

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Why These Related Problems?

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