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Finding the Third Proportional to 2,859,364 and 6,294,457

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Solution

The third proportional to 2,859,364 and 6,294,457 is: 13,856,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859,364 : 6,294,457 = 6,294,457 : x
  2. Step 2: Convert to fraction form
    2,859,364/6,294,457 = 6,294,457/x
  3. Step 3: Cross multiply
    2,859,364x = 6,294,457 × 6,294,457
  4. Step 4: Simplify right side
    2,859,364x = 39,620,188,924,849
  5. Step 5: Solve for x
    x = 39,620,188,924,849/2,859,364
  6. Step 6: Final answer
    x = 13,856,294.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.