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Finding the Third Proportional to 584,834 and 874,947

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Solution

The third proportional to 584,834 and 874,947 is: 1,308,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,834 : 874,947 = 874,947 : x
  2. Step 2: Convert to fraction form
    584,834/874,947 = 874,947/x
  3. Step 3: Cross multiply
    584,834x = 874,947 × 874,947
  4. Step 4: Simplify right side
    584,834x = 765,532,252,809
  5. Step 5: Solve for x
    x = 765,532,252,809/584,834
  6. Step 6: Final answer
    x = 1,308,973.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.