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Finding the Third Proportional to 771,201 and 1,231,524

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Solution

The third proportional to 771,201 and 1,231,524 is: 1,966,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,201 : 1,231,524 = 1,231,524 : x
  2. Step 2: Convert to fraction form
    771,201/1,231,524 = 1,231,524/x
  3. Step 3: Cross multiply
    771,201x = 1,231,524 × 1,231,524
  4. Step 4: Simplify right side
    771,201x = 1,516,651,362,576
  5. Step 5: Solve for x
    x = 1,516,651,362,576/771,201
  6. Step 6: Final answer
    x = 1,966,609.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.