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Finding the Third Proportional to 771,462 and 1,580,508

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Solution

The third proportional to 771,462 and 1,580,508 is: 3,238,015.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,462 : 1,580,508 = 1,580,508 : x
  2. Step 2: Convert to fraction form
    771,462/1,580,508 = 1,580,508/x
  3. Step 3: Cross multiply
    771,462x = 1,580,508 × 1,580,508
  4. Step 4: Simplify right side
    771,462x = 2,498,005,538,064
  5. Step 5: Solve for x
    x = 2,498,005,538,064/771,462
  6. Step 6: Final answer
    x = 3,238,015.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.