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Finding the Third Proportional to 767,289 and 1,203,705

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Solution

The third proportional to 767,289 and 1,203,705 is: 1,888,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,289 : 1,203,705 = 1,203,705 : x
  2. Step 2: Convert to fraction form
    767,289/1,203,705 = 1,203,705/x
  3. Step 3: Cross multiply
    767,289x = 1,203,705 × 1,203,705
  4. Step 4: Simplify right side
    767,289x = 1,448,905,727,025
  5. Step 5: Solve for x
    x = 1,448,905,727,025/767,289
  6. Step 6: Final answer
    x = 1,888,344.19

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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.