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Finding the Third Proportional to 771,020 and 1,670,751

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Solution

The third proportional to 771,020 and 1,670,751 is: 3,620,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,020 : 1,670,751 = 1,670,751 : x
  2. Step 2: Convert to fraction form
    771,020/1,670,751 = 1,670,751/x
  3. Step 3: Cross multiply
    771,020x = 1,670,751 × 1,670,751
  4. Step 4: Simplify right side
    771,020x = 2,791,408,904,001
  5. Step 5: Solve for x
    x = 2,791,408,904,001/771,020
  6. Step 6: Final answer
    x = 3,620,410.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.