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Finding the Third Proportional to 635,688 and 1,323,648

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Solution

The third proportional to 635,688 and 1,323,648 is: 2,756,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,688 : 1,323,648 = 1,323,648 : x
  2. Step 2: Convert to fraction form
    635,688/1,323,648 = 1,323,648/x
  3. Step 3: Cross multiply
    635,688x = 1,323,648 × 1,323,648
  4. Step 4: Simplify right side
    635,688x = 1,752,044,027,904
  5. Step 5: Solve for x
    x = 1,752,044,027,904/635,688
  6. Step 6: Final answer
    x = 2,756,138.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.