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Finding the Third Proportional to 1,015,321 and 1,347,747

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Solution

The third proportional to 1,015,321 and 1,347,747 is: 1,789,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,321 : 1,347,747 = 1,347,747 : x
  2. Step 2: Convert to fraction form
    1,015,321/1,347,747 = 1,347,747/x
  3. Step 3: Cross multiply
    1,015,321x = 1,347,747 × 1,347,747
  4. Step 4: Simplify right side
    1,015,321x = 1,816,421,976,009
  5. Step 5: Solve for x
    x = 1,816,421,976,009/1,015,321
  6. Step 6: Final answer
    x = 1,789,012.52

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.