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Finding the Third Proportional to 688,178 and 1,619,336

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Solution

The third proportional to 688,178 and 1,619,336 is: 3,810,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,178 : 1,619,336 = 1,619,336 : x
  2. Step 2: Convert to fraction form
    688,178/1,619,336 = 1,619,336/x
  3. Step 3: Cross multiply
    688,178x = 1,619,336 × 1,619,336
  4. Step 4: Simplify right side
    688,178x = 2,622,249,080,896
  5. Step 5: Solve for x
    x = 2,622,249,080,896/688,178
  6. Step 6: Final answer
    x = 3,810,422.71

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.