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Finding the Third Proportional to 770,544 and 1,674,576

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Solution

The third proportional to 770,544 and 1,674,576 is: 3,639,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,544 : 1,674,576 = 1,674,576 : x
  2. Step 2: Convert to fraction form
    770,544/1,674,576 = 1,674,576/x
  3. Step 3: Cross multiply
    770,544x = 1,674,576 × 1,674,576
  4. Step 4: Simplify right side
    770,544x = 2,804,204,779,776
  5. Step 5: Solve for x
    x = 2,804,204,779,776/770,544
  6. Step 6: Final answer
    x = 3,639,253.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.