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Finding the Third Proportional to 500,640 and 1,036,764

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Solution

The third proportional to 500,640 and 1,036,764 is: 2,147,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,640 : 1,036,764 = 1,036,764 : x
  2. Step 2: Convert to fraction form
    500,640/1,036,764 = 1,036,764/x
  3. Step 3: Cross multiply
    500,640x = 1,036,764 × 1,036,764
  4. Step 4: Simplify right side
    500,640x = 1,074,879,591,696
  5. Step 5: Solve for x
    x = 1,074,879,591,696/500,640
  6. Step 6: Final answer
    x = 2,147,011.01

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.