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Finding the Third Proportional to 771,007.22 and 1,670,723.16

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Solution

The third proportional to 771,007.22 and 1,670,723.16 is: 3,620,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,007.22 : 1,670,723.16 = 1,670,723.16 : x
  2. Step 2: Convert to fraction form
    771,007.22/1,670,723.16 = 1,670,723.16/x
  3. Step 3: Cross multiply
    771,007.22x = 1,670,723.16 × 1,670,723.16
  4. Step 4: Simplify right side
    771,007.22x = 2,791,315,864,829.96
  5. Step 5: Solve for x
    x = 2,791,315,864,829.96/771,007.22
  6. Step 6: Final answer
    x = 3,620,349.84

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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.