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Finding the Third Proportional to 775,298 and 1,642,654

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Solution

The third proportional to 775,298 and 1,642,654 is: 3,480,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,298 : 1,642,654 = 1,642,654 : x
  2. Step 2: Convert to fraction form
    775,298/1,642,654 = 1,642,654/x
  3. Step 3: Cross multiply
    775,298x = 1,642,654 × 1,642,654
  4. Step 4: Simplify right side
    775,298x = 2,698,312,163,716
  5. Step 5: Solve for x
    x = 2,698,312,163,716/775,298
  6. Step 6: Final answer
    x = 3,480,354.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.