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Finding the Third Proportional to 675,376.31 and 1,475,411.63

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Solution

The third proportional to 675,376.31 and 1,475,411.63 is: 3,223,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,376.31 : 1,475,411.63 = 1,475,411.63 : x
  2. Step 2: Convert to fraction form
    675,376.31/1,475,411.63 = 1,475,411.63/x
  3. Step 3: Cross multiply
    675,376.31x = 1,475,411.63 × 1,475,411.63
  4. Step 4: Simplify right side
    675,376.31x = 2,176,839,463,185.14
  5. Step 5: Solve for x
    x = 2,176,839,463,185.14/675,376.31
  6. Step 6: Final answer
    x = 3,223,150.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.