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Finding the Third Proportional to 500,593.50 and 1,036,670.06

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Solution

The third proportional to 500,593.50 and 1,036,670.06 is: 2,146,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,593.50 : 1,036,670.06 = 1,036,670.06 : x
  2. Step 2: Convert to fraction form
    500,593.50/1,036,670.06 = 1,036,670.06/x
  3. Step 3: Cross multiply
    500,593.50x = 1,036,670.06 × 1,036,670.06
  4. Step 4: Simplify right side
    500,593.50x = 1,074,684,818,483.75
  5. Step 5: Solve for x
    x = 1,074,684,818,483.75/500,593.50
  6. Step 6: Final answer
    x = 2,146,821.36

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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.