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Finding the Third Proportional to 797,260 and 1,235,742

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Solution

The third proportional to 797,260 and 1,235,742 is: 1,915,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,260 : 1,235,742 = 1,235,742 : x
  2. Step 2: Convert to fraction form
    797,260/1,235,742 = 1,235,742/x
  3. Step 3: Cross multiply
    797,260x = 1,235,742 × 1,235,742
  4. Step 4: Simplify right side
    797,260x = 1,527,058,290,564
  5. Step 5: Solve for x
    x = 1,527,058,290,564/797,260
  6. Step 6: Final answer
    x = 1,915,383.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.