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Finding the Third Proportional to 1,105,738 and 2,411,563

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Solution

The third proportional to 1,105,738 and 2,411,563 is: 5,259,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,738 : 2,411,563 = 2,411,563 : x
  2. Step 2: Convert to fraction form
    1,105,738/2,411,563 = 2,411,563/x
  3. Step 3: Cross multiply
    1,105,738x = 2,411,563 × 2,411,563
  4. Step 4: Simplify right side
    1,105,738x = 5,815,636,102,969
  5. Step 5: Solve for x
    x = 5,815,636,102,969/1,105,738
  6. Step 6: Final answer
    x = 5,259,506.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.