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Finding the Third Proportional to 500,593 and 1,036,670

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Solution

The third proportional to 500,593 and 1,036,670 is: 2,146,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,593 : 1,036,670 = 1,036,670 : x
  2. Step 2: Convert to fraction form
    500,593/1,036,670 = 1,036,670/x
  3. Step 3: Cross multiply
    500,593x = 1,036,670 × 1,036,670
  4. Step 4: Simplify right side
    500,593x = 1,074,684,688,900
  5. Step 5: Solve for x
    x = 1,074,684,688,900/500,593
  6. Step 6: Final answer
    x = 2,146,823.25

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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.