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Finding the Third Proportional to 500,571 and 1,036,630

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Solution

The third proportional to 500,571 and 1,036,630 is: 2,146,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,571 : 1,036,630 = 1,036,630 : x
  2. Step 2: Convert to fraction form
    500,571/1,036,630 = 1,036,630/x
  3. Step 3: Cross multiply
    500,571x = 1,036,630 × 1,036,630
  4. Step 4: Simplify right side
    500,571x = 1,074,601,756,900
  5. Step 5: Solve for x
    x = 1,074,601,756,900/500,571
  6. Step 6: Final answer
    x = 2,146,751.92

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Why These Related Problems?

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