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Finding the Third Proportional to 542,870.50 and 1,072,116.50

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Solution

The third proportional to 542,870.50 and 1,072,116.50 is: 2,117,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,870.50 : 1,072,116.50 = 1,072,116.50 : x
  2. Step 2: Convert to fraction form
    542,870.50/1,072,116.50 = 1,072,116.50/x
  3. Step 3: Cross multiply
    542,870.50x = 1,072,116.50 × 1,072,116.50
  4. Step 4: Simplify right side
    542,870.50x = 1,149,433,789,572.25
  5. Step 5: Solve for x
    x = 1,149,433,789,572.25/542,870.50
  6. Step 6: Final answer
    x = 2,117,325.94

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.