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Finding the Third Proportional to 4,741,712 and 6,775,797

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Solution

The third proportional to 4,741,712 and 6,775,797 is: 9,682,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741,712 : 6,775,797 = 6,775,797 : x
  2. Step 2: Convert to fraction form
    4,741,712/6,775,797 = 6,775,797/x
  3. Step 3: Cross multiply
    4,741,712x = 6,775,797 × 6,775,797
  4. Step 4: Simplify right side
    4,741,712x = 45,911,424,985,209
  5. Step 5: Solve for x
    x = 45,911,424,985,209/4,741,712
  6. Step 6: Final answer
    x = 9,682,457.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.