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Finding the Third Proportional to 771,272 and 1,660,968

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Solution

The third proportional to 771,272 and 1,660,968 is: 3,576,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,272 : 1,660,968 = 1,660,968 : x
  2. Step 2: Convert to fraction form
    771,272/1,660,968 = 1,660,968/x
  3. Step 3: Cross multiply
    771,272x = 1,660,968 × 1,660,968
  4. Step 4: Simplify right side
    771,272x = 2,758,814,697,024
  5. Step 5: Solve for x
    x = 2,758,814,697,024/771,272
  6. Step 6: Final answer
    x = 3,576,967.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.