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Finding the Third Proportional to 506,050.75 and 1,047,910.25

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Solution

The third proportional to 506,050.75 and 1,047,910.25 is: 2,169,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,050.75 : 1,047,910.25 = 1,047,910.25 : x
  2. Step 2: Convert to fraction form
    506,050.75/1,047,910.25 = 1,047,910.25/x
  3. Step 3: Cross multiply
    506,050.75x = 1,047,910.25 × 1,047,910.25
  4. Step 4: Simplify right side
    506,050.75x = 1,098,115,892,055.06
  5. Step 5: Solve for x
    x = 1,098,115,892,055.06/506,050.75
  6. Step 6: Final answer
    x = 2,169,971.87

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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.