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Finding the Third Proportional to 766,674 and 1,202,754

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Solution

The third proportional to 766,674 and 1,202,754 is: 1,886,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,674 : 1,202,754 = 1,202,754 : x
  2. Step 2: Convert to fraction form
    766,674/1,202,754 = 1,202,754/x
  3. Step 3: Cross multiply
    766,674x = 1,202,754 × 1,202,754
  4. Step 4: Simplify right side
    766,674x = 1,446,617,184,516
  5. Step 5: Solve for x
    x = 1,446,617,184,516/766,674
  6. Step 6: Final answer
    x = 1,886,873.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.