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Finding the Third Proportional to 688,356 and 1,476,351

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Solution

The third proportional to 688,356 and 1,476,351 is: 3,166,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,356 : 1,476,351 = 1,476,351 : x
  2. Step 2: Convert to fraction form
    688,356/1,476,351 = 1,476,351/x
  3. Step 3: Cross multiply
    688,356x = 1,476,351 × 1,476,351
  4. Step 4: Simplify right side
    688,356x = 2,179,612,275,201
  5. Step 5: Solve for x
    x = 2,179,612,275,201/688,356
  6. Step 6: Final answer
    x = 3,166,402.67

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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.