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Finding the Third Proportional to 500,610 and 1,036,704

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Solution

The third proportional to 500,610 and 1,036,704 is: 2,146,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,610 : 1,036,704 = 1,036,704 : x
  2. Step 2: Convert to fraction form
    500,610/1,036,704 = 1,036,704/x
  3. Step 3: Cross multiply
    500,610x = 1,036,704 × 1,036,704
  4. Step 4: Simplify right side
    500,610x = 1,074,755,183,616
  5. Step 5: Solve for x
    x = 1,074,755,183,616/500,610
  6. Step 6: Final answer
    x = 2,146,891.16

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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.