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Finding the Third Proportional to 2,112,381 and 4,561,488

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Solution

The third proportional to 2,112,381 and 4,561,488 is: 9,850,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112,381 : 4,561,488 = 4,561,488 : x
  2. Step 2: Convert to fraction form
    2,112,381/4,561,488 = 4,561,488/x
  3. Step 3: Cross multiply
    2,112,381x = 4,561,488 × 4,561,488
  4. Step 4: Simplify right side
    2,112,381x = 20,807,172,774,144
  5. Step 5: Solve for x
    x = 20,807,172,774,144/2,112,381
  6. Step 6: Final answer
    x = 9,850,104.11

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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.