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Finding the Third Proportional to 2,761,937 and 5,907,658

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Solution

The third proportional to 2,761,937 and 5,907,658 is: 12,636,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761,937 : 5,907,658 = 5,907,658 : x
  2. Step 2: Convert to fraction form
    2,761,937/5,907,658 = 5,907,658/x
  3. Step 3: Cross multiply
    2,761,937x = 5,907,658 × 5,907,658
  4. Step 4: Simplify right side
    2,761,937x = 34,900,423,044,964
  5. Step 5: Solve for x
    x = 34,900,423,044,964/2,761,937
  6. Step 6: Final answer
    x = 12,636,212.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.