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Finding the Third Proportional to 770,967 and 1,695,708

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Solution

The third proportional to 770,967 and 1,695,708 is: 3,729,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,967 : 1,695,708 = 1,695,708 : x
  2. Step 2: Convert to fraction form
    770,967/1,695,708 = 1,695,708/x
  3. Step 3: Cross multiply
    770,967x = 1,695,708 × 1,695,708
  4. Step 4: Simplify right side
    770,967x = 2,875,425,621,264
  5. Step 5: Solve for x
    x = 2,875,425,621,264/770,967
  6. Step 6: Final answer
    x = 3,729,635.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.