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Finding the Third Proportional to 1,294,414 and 2,816,088

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Solution

The third proportional to 1,294,414 and 2,816,088 is: 6,126,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,414 : 2,816,088 = 2,816,088 : x
  2. Step 2: Convert to fraction form
    1,294,414/2,816,088 = 2,816,088/x
  3. Step 3: Cross multiply
    1,294,414x = 2,816,088 × 2,816,088
  4. Step 4: Simplify right side
    1,294,414x = 7,930,351,623,744
  5. Step 5: Solve for x
    x = 7,930,351,623,744/1,294,414
  6. Step 6: Final answer
    x = 6,126,595.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.