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Finding the Third Proportional to 644,480 and 1,382,304

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Solution

The third proportional to 644,480 and 1,382,304 is: 2,964,815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,480 : 1,382,304 = 1,382,304 : x
  2. Step 2: Convert to fraction form
    644,480/1,382,304 = 1,382,304/x
  3. Step 3: Cross multiply
    644,480x = 1,382,304 × 1,382,304
  4. Step 4: Simplify right side
    644,480x = 1,910,764,348,416
  5. Step 5: Solve for x
    x = 1,910,764,348,416/644,480
  6. Step 6: Final answer
    x = 2,964,815.59

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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.