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Finding the Third Proportional to 675,253.50 and 1,462,611

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Solution

The third proportional to 675,253.50 and 1,462,611 is: 3,168,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,253.50 : 1,462,611 = 1,462,611 : x
  2. Step 2: Convert to fraction form
    675,253.50/1,462,611 = 1,462,611/x
  3. Step 3: Cross multiply
    675,253.50x = 1,462,611 × 1,462,611
  4. Step 4: Simplify right side
    675,253.50x = 2,139,230,937,321
  5. Step 5: Solve for x
    x = 2,139,230,937,321/675,253.50
  6. Step 6: Final answer
    x = 3,168,041.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.