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Finding the Third Proportional to 752,346 and 1,627,402

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Solution

The third proportional to 752,346 and 1,627,402 is: 3,520,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,346 : 1,627,402 = 1,627,402 : x
  2. Step 2: Convert to fraction form
    752,346/1,627,402 = 1,627,402/x
  3. Step 3: Cross multiply
    752,346x = 1,627,402 × 1,627,402
  4. Step 4: Simplify right side
    752,346x = 2,648,437,269,604
  5. Step 5: Solve for x
    x = 2,648,437,269,604/752,346
  6. Step 6: Final answer
    x = 3,520,238.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.