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Finding the Third Proportional to 673,732 and 1,017,619

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Solution

The third proportional to 673,732 and 1,017,619 is: 1,537,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,732 : 1,017,619 = 1,017,619 : x
  2. Step 2: Convert to fraction form
    673,732/1,017,619 = 1,017,619/x
  3. Step 3: Cross multiply
    673,732x = 1,017,619 × 1,017,619
  4. Step 4: Simplify right side
    673,732x = 1,035,548,429,161
  5. Step 5: Solve for x
    x = 1,035,548,429,161/673,732
  6. Step 6: Final answer
    x = 1,537,033.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.