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Finding the Third Proportional to 2,205,992 and 3,539,340

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Solution

The third proportional to 2,205,992 and 3,539,340 is: 5,678,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,992 : 3,539,340 = 3,539,340 : x
  2. Step 2: Convert to fraction form
    2,205,992/3,539,340 = 3,539,340/x
  3. Step 3: Cross multiply
    2,205,992x = 3,539,340 × 3,539,340
  4. Step 4: Simplify right side
    2,205,992x = 12,526,927,635,600
  5. Step 5: Solve for x
    x = 12,526,927,635,600/2,205,992
  6. Step 6: Final answer
    x = 5,678,591.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.