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Finding the Third Proportional to 3,462,714 and 5,174,690.63

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Solution

The third proportional to 3,462,714 and 5,174,690.63 is: 7,733,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462,714 : 5,174,690.63 = 5,174,690.63 : x
  2. Step 2: Convert to fraction form
    3,462,714/5,174,690.63 = 5,174,690.63/x
  3. Step 3: Cross multiply
    3,462,714x = 5,174,690.63 × 5,174,690.63
  4. Step 4: Simplify right side
    3,462,714x = 26,777,423,064,462.89
  5. Step 5: Solve for x
    x = 26,777,423,064,462.89/3,462,714
  6. Step 6: Final answer
    x = 7,733,073.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.