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Finding the Third Proportional to 1,764,909 and 3,728,106

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Solution

The third proportional to 1,764,909 and 3,728,106 is: 7,875,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764,909 : 3,728,106 = 3,728,106 : x
  2. Step 2: Convert to fraction form
    1,764,909/3,728,106 = 3,728,106/x
  3. Step 3: Cross multiply
    1,764,909x = 3,728,106 × 3,728,106
  4. Step 4: Simplify right side
    1,764,909x = 13,898,774,347,236
  5. Step 5: Solve for x
    x = 13,898,774,347,236/1,764,909
  6. Step 6: Final answer
    x = 7,875,065.71

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.