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Finding the Third Proportional to 445,324 and 970,572

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Solution

The third proportional to 445,324 and 970,572 is: 2,115,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,324 : 970,572 = 970,572 : x
  2. Step 2: Convert to fraction form
    445,324/970,572 = 970,572/x
  3. Step 3: Cross multiply
    445,324x = 970,572 × 970,572
  4. Step 4: Simplify right side
    445,324x = 942,010,007,184
  5. Step 5: Solve for x
    x = 942,010,007,184/445,324
  6. Step 6: Final answer
    x = 2,115,336.27

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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.