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Finding the Third Proportional to 1,294,734 and 1,960,095

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Solution

The third proportional to 1,294,734 and 1,960,095 is: 2,967,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,734 : 1,960,095 = 1,960,095 : x
  2. Step 2: Convert to fraction form
    1,294,734/1,960,095 = 1,960,095/x
  3. Step 3: Cross multiply
    1,294,734x = 1,960,095 × 1,960,095
  4. Step 4: Simplify right side
    1,294,734x = 3,841,972,409,025
  5. Step 5: Solve for x
    x = 3,841,972,409,025/1,294,734
  6. Step 6: Final answer
    x = 2,967,383.58

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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.