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Finding the Third Proportional to 644,576 and 1,382,412

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Solution

The third proportional to 644,576 and 1,382,412 is: 2,964,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,576 : 1,382,412 = 1,382,412 : x
  2. Step 2: Convert to fraction form
    644,576/1,382,412 = 1,382,412/x
  3. Step 3: Cross multiply
    644,576x = 1,382,412 × 1,382,412
  4. Step 4: Simplify right side
    644,576x = 1,911,062,937,744
  5. Step 5: Solve for x
    x = 1,911,062,937,744/644,576
  6. Step 6: Final answer
    x = 2,964,837.25

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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.