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Finding the Third Proportional to 581,186 and 904,611

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Solution

The third proportional to 581,186 and 904,611 is: 1,408,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,186 : 904,611 = 904,611 : x
  2. Step 2: Convert to fraction form
    581,186/904,611 = 904,611/x
  3. Step 3: Cross multiply
    581,186x = 904,611 × 904,611
  4. Step 4: Simplify right side
    581,186x = 818,321,061,321
  5. Step 5: Solve for x
    x = 818,321,061,321/581,186
  6. Step 6: Final answer
    x = 1,408,019.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.