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Finding the Third Proportional to 775,170 and 1,662,417

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Solution

The third proportional to 775,170 and 1,662,417 is: 3,565,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,170 : 1,662,417 = 1,662,417 : x
  2. Step 2: Convert to fraction form
    775,170/1,662,417 = 1,662,417/x
  3. Step 3: Cross multiply
    775,170x = 1,662,417 × 1,662,417
  4. Step 4: Simplify right side
    775,170x = 2,763,630,281,889
  5. Step 5: Solve for x
    x = 2,763,630,281,889/775,170
  6. Step 6: Final answer
    x = 3,565,192.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.