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Finding the Third Proportional to 644,752 and 1,384,656

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Solution

The third proportional to 644,752 and 1,384,656 is: 2,973,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,752 : 1,384,656 = 1,384,656 : x
  2. Step 2: Convert to fraction form
    644,752/1,384,656 = 1,384,656/x
  3. Step 3: Cross multiply
    644,752x = 1,384,656 × 1,384,656
  4. Step 4: Simplify right side
    644,752x = 1,917,272,238,336
  5. Step 5: Solve for x
    x = 1,917,272,238,336/644,752
  6. Step 6: Final answer
    x = 2,973,658.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.