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Finding the Third Proportional to 771,201 and 1,721,250

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Solution

The third proportional to 771,201 and 1,721,250 is: 3,841,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,201 : 1,721,250 = 1,721,250 : x
  2. Step 2: Convert to fraction form
    771,201/1,721,250 = 1,721,250/x
  3. Step 3: Cross multiply
    771,201x = 1,721,250 × 1,721,250
  4. Step 4: Simplify right side
    771,201x = 2,962,701,562,500
  5. Step 5: Solve for x
    x = 2,962,701,562,500/771,201
  6. Step 6: Final answer
    x = 3,841,672.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.