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Finding the Third Proportional to 3,213,689 and 4,406,677.50

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Solution

The third proportional to 3,213,689 and 4,406,677.50 is: 6,042,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,689 : 4,406,677.50 = 4,406,677.50 : x
  2. Step 2: Convert to fraction form
    3,213,689/4,406,677.50 = 4,406,677.50/x
  3. Step 3: Cross multiply
    3,213,689x = 4,406,677.50 × 4,406,677.50
  4. Step 4: Simplify right side
    3,213,689x = 19,418,806,589,006.25
  5. Step 5: Solve for x
    x = 19,418,806,589,006.25/3,213,689
  6. Step 6: Final answer
    x = 6,042,528.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.