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Finding the Third Proportional to 1,636,128 and 3,499,680

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Solution

The third proportional to 1,636,128 and 3,499,680 is: 7,485,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,128 : 3,499,680 = 3,499,680 : x
  2. Step 2: Convert to fraction form
    1,636,128/3,499,680 = 3,499,680/x
  3. Step 3: Cross multiply
    1,636,128x = 3,499,680 × 3,499,680
  4. Step 4: Simplify right side
    1,636,128x = 12,247,760,102,400
  5. Step 5: Solve for x
    x = 12,247,760,102,400/1,636,128
  6. Step 6: Final answer
    x = 7,485,820.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.