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Finding the Third Proportional to 1,741,408 and 4,097,430

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Solution

The third proportional to 1,741,408 and 4,097,430 is: 9,641,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,408 : 4,097,430 = 4,097,430 : x
  2. Step 2: Convert to fraction form
    1,741,408/4,097,430 = 4,097,430/x
  3. Step 3: Cross multiply
    1,741,408x = 4,097,430 × 4,097,430
  4. Step 4: Simplify right side
    1,741,408x = 16,788,932,604,900
  5. Step 5: Solve for x
    x = 16,788,932,604,900/1,741,408
  6. Step 6: Final answer
    x = 9,641,010.38

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.