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Finding the Third Proportional to 771,230 and 1,660,855

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Solution

The third proportional to 771,230 and 1,660,855 is: 3,576,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,230 : 1,660,855 = 1,660,855 : x
  2. Step 2: Convert to fraction form
    771,230/1,660,855 = 1,660,855/x
  3. Step 3: Cross multiply
    771,230x = 1,660,855 × 1,660,855
  4. Step 4: Simplify right side
    771,230x = 2,758,439,331,025
  5. Step 5: Solve for x
    x = 2,758,439,331,025/771,230
  6. Step 6: Final answer
    x = 3,576,675.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.