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Finding the Third Proportional to 2,107,590 and 4,973,596.50

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Solution

The third proportional to 2,107,590 and 4,973,596.50 is: 11,736,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107,590 : 4,973,596.50 = 4,973,596.50 : x
  2. Step 2: Convert to fraction form
    2,107,590/4,973,596.50 = 4,973,596.50/x
  3. Step 3: Cross multiply
    2,107,590x = 4,973,596.50 × 4,973,596.50
  4. Step 4: Simplify right side
    2,107,590x = 24,736,662,144,812.25
  5. Step 5: Solve for x
    x = 24,736,662,144,812.25/2,107,590
  6. Step 6: Final answer
    x = 11,736,942.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.