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Finding the Third Proportional to 2,734,290 and 5,983,196

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Solution

The third proportional to 2,734,290 and 5,983,196 is: 13,092,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,290 : 5,983,196 = 5,983,196 : x
  2. Step 2: Convert to fraction form
    2,734,290/5,983,196 = 5,983,196/x
  3. Step 3: Cross multiply
    2,734,290x = 5,983,196 × 5,983,196
  4. Step 4: Simplify right side
    2,734,290x = 35,798,634,374,416
  5. Step 5: Solve for x
    x = 35,798,634,374,416/2,734,290
  6. Step 6: Final answer
    x = 13,092,478.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.