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Finding the Third Proportional to 590,921 and 970,830

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Solution

The third proportional to 590,921 and 970,830 is: 1,594,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,921 : 970,830 = 970,830 : x
  2. Step 2: Convert to fraction form
    590,921/970,830 = 970,830/x
  3. Step 3: Cross multiply
    590,921x = 970,830 × 970,830
  4. Step 4: Simplify right side
    590,921x = 942,510,888,900
  5. Step 5: Solve for x
    x = 942,510,888,900/590,921
  6. Step 6: Final answer
    x = 1,594,986.28

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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.