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Finding the Third Proportional to 644,553 and 1,382,370

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Solution

The third proportional to 644,553 and 1,382,370 is: 2,964,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,553 : 1,382,370 = 1,382,370 : x
  2. Step 2: Convert to fraction form
    644,553/1,382,370 = 1,382,370/x
  3. Step 3: Cross multiply
    644,553x = 1,382,370 × 1,382,370
  4. Step 4: Simplify right side
    644,553x = 1,910,946,816,900
  5. Step 5: Solve for x
    x = 1,910,946,816,900/644,553
  6. Step 6: Final answer
    x = 2,964,762.89

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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.