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Finding the Third Proportional to 2,200,689 and 4,666,329

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Solution

The third proportional to 2,200,689 and 4,666,329 is: 9,894,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200,689 : 4,666,329 = 4,666,329 : x
  2. Step 2: Convert to fraction form
    2,200,689/4,666,329 = 4,666,329/x
  3. Step 3: Cross multiply
    2,200,689x = 4,666,329 × 4,666,329
  4. Step 4: Simplify right side
    2,200,689x = 21,774,626,336,241
  5. Step 5: Solve for x
    x = 21,774,626,336,241/2,200,689
  6. Step 6: Final answer
    x = 9,894,458.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.