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Finding the Third Proportional to 479,947 and 1,036,863

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Solution

The third proportional to 479,947 and 1,036,863 is: 2,240,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,947 : 1,036,863 = 1,036,863 : x
  2. Step 2: Convert to fraction form
    479,947/1,036,863 = 1,036,863/x
  3. Step 3: Cross multiply
    479,947x = 1,036,863 × 1,036,863
  4. Step 4: Simplify right side
    479,947x = 1,075,084,880,769
  5. Step 5: Solve for x
    x = 1,075,084,880,769/479,947
  6. Step 6: Final answer
    x = 2,240,007.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.