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Finding the Third Proportional to 601,770 and 1,297,581

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Solution

The third proportional to 601,770 and 1,297,581 is: 2,797,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,770 : 1,297,581 = 1,297,581 : x
  2. Step 2: Convert to fraction form
    601,770/1,297,581 = 1,297,581/x
  3. Step 3: Cross multiply
    601,770x = 1,297,581 × 1,297,581
  4. Step 4: Simplify right side
    601,770x = 1,683,716,451,561
  5. Step 5: Solve for x
    x = 1,683,716,451,561/601,770
  6. Step 6: Final answer
    x = 2,797,940.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.