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Finding the Third Proportional to 770,266 and 1,662,320

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Solution

The third proportional to 770,266 and 1,662,320 is: 3,587,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,266 : 1,662,320 = 1,662,320 : x
  2. Step 2: Convert to fraction form
    770,266/1,662,320 = 1,662,320/x
  3. Step 3: Cross multiply
    770,266x = 1,662,320 × 1,662,320
  4. Step 4: Simplify right side
    770,266x = 2,763,307,782,400
  5. Step 5: Solve for x
    x = 2,763,307,782,400/770,266
  6. Step 6: Final answer
    x = 3,587,472.10

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