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Finding the Third Proportional to 450,520 and 970,592

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Solution

The third proportional to 450,520 and 970,592 is: 2,091,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,520 : 970,592 = 970,592 : x
  2. Step 2: Convert to fraction form
    450,520/970,592 = 970,592/x
  3. Step 3: Cross multiply
    450,520x = 970,592 × 970,592
  4. Step 4: Simplify right side
    450,520x = 942,048,830,464
  5. Step 5: Solve for x
    x = 942,048,830,464/450,520
  6. Step 6: Final answer
    x = 2,091,025.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.