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Finding the Third Proportional to 640,524 and 1,401,432

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Solution

The third proportional to 640,524 and 1,401,432 is: 3,066,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,524 : 1,401,432 = 1,401,432 : x
  2. Step 2: Convert to fraction form
    640,524/1,401,432 = 1,401,432/x
  3. Step 3: Cross multiply
    640,524x = 1,401,432 × 1,401,432
  4. Step 4: Simplify right side
    640,524x = 1,964,011,650,624
  5. Step 5: Solve for x
    x = 1,964,011,650,624/640,524
  6. Step 6: Final answer
    x = 3,066,257.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.