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Finding the Third Proportional to 644,544 and 1,382,352

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Solution

The third proportional to 644,544 and 1,382,352 is: 2,964,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,544 : 1,382,352 = 1,382,352 : x
  2. Step 2: Convert to fraction form
    644,544/1,382,352 = 1,382,352/x
  3. Step 3: Cross multiply
    644,544x = 1,382,352 × 1,382,352
  4. Step 4: Simplify right side
    644,544x = 1,910,897,051,904
  5. Step 5: Solve for x
    x = 1,910,897,051,904/644,544
  6. Step 6: Final answer
    x = 2,964,727.08

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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.