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Finding the Third Proportional to 2,083,010 and 4,290,628

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Solution

The third proportional to 2,083,010 and 4,290,628 is: 8,837,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,010 : 4,290,628 = 4,290,628 : x
  2. Step 2: Convert to fraction form
    2,083,010/4,290,628 = 4,290,628/x
  3. Step 3: Cross multiply
    2,083,010x = 4,290,628 × 4,290,628
  4. Step 4: Simplify right side
    2,083,010x = 18,409,488,634,384
  5. Step 5: Solve for x
    x = 18,409,488,634,384/2,083,010
  6. Step 6: Final answer
    x = 8,837,926.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.