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Finding the Third Proportional to 688,318 and 1,476,252

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Solution

The third proportional to 688,318 and 1,476,252 is: 3,166,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,318 : 1,476,252 = 1,476,252 : x
  2. Step 2: Convert to fraction form
    688,318/1,476,252 = 1,476,252/x
  3. Step 3: Cross multiply
    688,318x = 1,476,252 × 1,476,252
  4. Step 4: Simplify right side
    688,318x = 2,179,319,967,504
  5. Step 5: Solve for x
    x = 2,179,319,967,504/688,318
  6. Step 6: Final answer
    x = 3,166,152.81

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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.