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Finding the Third Proportional to 688,344.75 and 1,476,334.69

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Solution

The third proportional to 688,344.75 and 1,476,334.69 is: 3,166,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,344.75 : 1,476,334.69 = 1,476,334.69 : x
  2. Step 2: Convert to fraction form
    688,344.75/1,476,334.69 = 1,476,334.69/x
  3. Step 3: Cross multiply
    688,344.75x = 1,476,334.69 × 1,476,334.69
  4. Step 4: Simplify right side
    688,344.75x = 2,179,564,109,515.72
  5. Step 5: Solve for x
    x = 2,179,564,109,515.72/688,344.75
  6. Step 6: Final answer
    x = 3,166,384.45

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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.