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Finding the Third Proportional to 976,205 and 2,110,327

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Solution

The third proportional to 976,205 and 2,110,327 is: 4,562,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,205 : 2,110,327 = 2,110,327 : x
  2. Step 2: Convert to fraction form
    976,205/2,110,327 = 2,110,327/x
  3. Step 3: Cross multiply
    976,205x = 2,110,327 × 2,110,327
  4. Step 4: Simplify right side
    976,205x = 4,453,480,046,929
  5. Step 5: Solve for x
    x = 4,453,480,046,929/976,205
  6. Step 6: Final answer
    x = 4,562,033.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.