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Finding the Third Proportional to 814,113 and 1,245,345.50

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Solution

The third proportional to 814,113 and 1,245,345.50 is: 1,905,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,113 : 1,245,345.50 = 1,245,345.50 : x
  2. Step 2: Convert to fraction form
    814,113/1,245,345.50 = 1,245,345.50/x
  3. Step 3: Cross multiply
    814,113x = 1,245,345.50 × 1,245,345.50
  4. Step 4: Simplify right side
    814,113x = 1,550,885,414,370.25
  5. Step 5: Solve for x
    x = 1,550,885,414,370.25/814,113
  6. Step 6: Final answer
    x = 1,905,000.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.