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Finding the Third Proportional to 804,576 and 1,762,768

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Solution

The third proportional to 804,576 and 1,762,768 is: 3,862,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,576 : 1,762,768 = 1,762,768 : x
  2. Step 2: Convert to fraction form
    804,576/1,762,768 = 1,762,768/x
  3. Step 3: Cross multiply
    804,576x = 1,762,768 × 1,762,768
  4. Step 4: Simplify right side
    804,576x = 3,107,351,021,824
  5. Step 5: Solve for x
    x = 3,107,351,021,824/804,576
  6. Step 6: Final answer
    x = 3,862,097.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.