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Finding the Third Proportional to 590,911 and 970,815

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Solution

The third proportional to 590,911 and 970,815 is: 1,594,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,911 : 970,815 = 970,815 : x
  2. Step 2: Convert to fraction form
    590,911/970,815 = 970,815/x
  3. Step 3: Cross multiply
    590,911x = 970,815 × 970,815
  4. Step 4: Simplify right side
    590,911x = 942,481,764,225
  5. Step 5: Solve for x
    x = 942,481,764,225/590,911
  6. Step 6: Final answer
    x = 1,594,963.99

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.