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Finding the Third Proportional to 3,828,800 and 5,927,842

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Solution

The third proportional to 3,828,800 and 5,927,842 is: 9,177,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828,800 : 5,927,842 = 5,927,842 : x
  2. Step 2: Convert to fraction form
    3,828,800/5,927,842 = 5,927,842/x
  3. Step 3: Cross multiply
    3,828,800x = 5,927,842 × 5,927,842
  4. Step 4: Simplify right side
    3,828,800x = 35,139,310,776,964
  5. Step 5: Solve for x
    x = 35,139,310,776,964/3,828,800
  6. Step 6: Final answer
    x = 9,177,630.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.