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Finding the Third Proportional to 990,229 and 1,467,361

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Solution

The third proportional to 990,229 and 1,467,361 is: 2,174,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,229 : 1,467,361 = 1,467,361 : x
  2. Step 2: Convert to fraction form
    990,229/1,467,361 = 1,467,361/x
  3. Step 3: Cross multiply
    990,229x = 1,467,361 × 1,467,361
  4. Step 4: Simplify right side
    990,229x = 2,153,148,304,321
  5. Step 5: Solve for x
    x = 2,153,148,304,321/990,229
  6. Step 6: Final answer
    x = 2,174,394.31

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.