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Finding the Third Proportional to 1,688,228 and 2,418,326

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Solution

The third proportional to 1,688,228 and 2,418,326 is: 3,464,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,228 : 2,418,326 = 2,418,326 : x
  2. Step 2: Convert to fraction form
    1,688,228/2,418,326 = 2,418,326/x
  3. Step 3: Cross multiply
    1,688,228x = 2,418,326 × 2,418,326
  4. Step 4: Simplify right side
    1,688,228x = 5,848,300,642,276
  5. Step 5: Solve for x
    x = 5,848,300,642,276/1,688,228
  6. Step 6: Final answer
    x = 3,464,165.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.