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Finding the Third Proportional to 590,919 and 970,829

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Solution

The third proportional to 590,919 and 970,829 is: 1,594,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,919 : 970,829 = 970,829 : x
  2. Step 2: Convert to fraction form
    590,919/970,829 = 970,829/x
  3. Step 3: Cross multiply
    590,919x = 970,829 × 970,829
  4. Step 4: Simplify right side
    590,919x = 942,508,947,241
  5. Step 5: Solve for x
    x = 942,508,947,241/590,919
  6. Step 6: Final answer
    x = 1,594,988.39

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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.