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Finding the Third Proportional to 1,294,796 and 1,960,186

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Solution

The third proportional to 1,294,796 and 1,960,186 is: 2,967,517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,796 : 1,960,186 = 1,960,186 : x
  2. Step 2: Convert to fraction form
    1,294,796/1,960,186 = 1,960,186/x
  3. Step 3: Cross multiply
    1,294,796x = 1,960,186 × 1,960,186
  4. Step 4: Simplify right side
    1,294,796x = 3,842,329,154,596
  5. Step 5: Solve for x
    x = 3,842,329,154,596/1,294,796
  6. Step 6: Final answer
    x = 2,967,517.01

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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.