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Finding the Third Proportional to 770,266 and 1,662,319

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Solution

The third proportional to 770,266 and 1,662,319 is: 3,587,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,266 : 1,662,319 = 1,662,319 : x
  2. Step 2: Convert to fraction form
    770,266/1,662,319 = 1,662,319/x
  3. Step 3: Cross multiply
    770,266x = 1,662,319 × 1,662,319
  4. Step 4: Simplify right side
    770,266x = 2,763,304,457,761
  5. Step 5: Solve for x
    x = 2,763,304,457,761/770,266
  6. Step 6: Final answer
    x = 3,587,467.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.