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Finding the Third Proportional to 771,028 and 1,670,768

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Solution

The third proportional to 771,028 and 1,670,768 is: 3,620,446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,028 : 1,670,768 = 1,670,768 : x
  2. Step 2: Convert to fraction form
    771,028/1,670,768 = 1,670,768/x
  3. Step 3: Cross multiply
    771,028x = 1,670,768 × 1,670,768
  4. Step 4: Simplify right side
    771,028x = 2,791,465,709,824
  5. Step 5: Solve for x
    x = 2,791,465,709,824/771,028
  6. Step 6: Final answer
    x = 3,620,446.61

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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.