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Finding the Third Proportional to 1,160,520 and 1,774,125

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Solution

The third proportional to 1,160,520 and 1,774,125 is: 2,712,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,520 : 1,774,125 = 1,774,125 : x
  2. Step 2: Convert to fraction form
    1,160,520/1,774,125 = 1,774,125/x
  3. Step 3: Cross multiply
    1,160,520x = 1,774,125 × 1,774,125
  4. Step 4: Simplify right side
    1,160,520x = 3,147,519,515,625
  5. Step 5: Solve for x
    x = 3,147,519,515,625/1,160,520
  6. Step 6: Final answer
    x = 2,712,163.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.