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Finding the Third Proportional to 445,346 and 970,612

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Solution

The third proportional to 445,346 and 970,612 is: 2,115,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,346 : 970,612 = 970,612 : x
  2. Step 2: Convert to fraction form
    445,346/970,612 = 970,612/x
  3. Step 3: Cross multiply
    445,346x = 970,612 × 970,612
  4. Step 4: Simplify right side
    445,346x = 942,087,654,544
  5. Step 5: Solve for x
    x = 942,087,654,544/445,346
  6. Step 6: Final answer
    x = 2,115,406.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.