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Finding the Third Proportional to 677,769 and 1,467,117

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Solution

The third proportional to 677,769 and 1,467,117 is: 3,175,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,769 : 1,467,117 = 1,467,117 : x
  2. Step 2: Convert to fraction form
    677,769/1,467,117 = 1,467,117/x
  3. Step 3: Cross multiply
    677,769x = 1,467,117 × 1,467,117
  4. Step 4: Simplify right side
    677,769x = 2,152,432,291,689
  5. Step 5: Solve for x
    x = 2,152,432,291,689/677,769
  6. Step 6: Final answer
    x = 3,175,760.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.