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Finding the Third Proportional to 638,780 and 1,363,258

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Solution

The third proportional to 638,780 and 1,363,258 is: 2,909,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,780 : 1,363,258 = 1,363,258 : x
  2. Step 2: Convert to fraction form
    638,780/1,363,258 = 1,363,258/x
  3. Step 3: Cross multiply
    638,780x = 1,363,258 × 1,363,258
  4. Step 4: Simplify right side
    638,780x = 1,858,472,374,564
  5. Step 5: Solve for x
    x = 1,858,472,374,564/638,780
  6. Step 6: Final answer
    x = 2,909,409.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.