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Finding the Third Proportional to 1,294,738 and 1,960,097

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Solution

The third proportional to 1,294,738 and 1,960,097 is: 2,967,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,738 : 1,960,097 = 1,960,097 : x
  2. Step 2: Convert to fraction form
    1,294,738/1,960,097 = 1,960,097/x
  3. Step 3: Cross multiply
    1,294,738x = 1,960,097 × 1,960,097
  4. Step 4: Simplify right side
    1,294,738x = 3,841,980,249,409
  5. Step 5: Solve for x
    x = 3,841,980,249,409/1,294,738
  6. Step 6: Final answer
    x = 2,967,380.47

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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.