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Finding the Third Proportional to 691,258 and 1,503,690

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Solution

The third proportional to 691,258 and 1,503,690 is: 3,270,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,258 : 1,503,690 = 1,503,690 : x
  2. Step 2: Convert to fraction form
    691,258/1,503,690 = 1,503,690/x
  3. Step 3: Cross multiply
    691,258x = 1,503,690 × 1,503,690
  4. Step 4: Simplify right side
    691,258x = 2,261,083,616,100
  5. Step 5: Solve for x
    x = 2,261,083,616,100/691,258
  6. Step 6: Final answer
    x = 3,270,969.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.