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Finding the Third Proportional to 654,328.13 and 1,437,818.34

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Solution

The third proportional to 654,328.13 and 1,437,818.34 is: 3,159,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,328.13 : 1,437,818.34 = 1,437,818.34 : x
  2. Step 2: Convert to fraction form
    654,328.13/1,437,818.34 = 1,437,818.34/x
  3. Step 3: Cross multiply
    654,328.13x = 1,437,818.34 × 1,437,818.34
  4. Step 4: Simplify right side
    654,328.13x = 2,067,321,589,623.99
  5. Step 5: Solve for x
    x = 2,067,321,589,623.99/654,328.13
  6. Step 6: Final answer
    x = 3,159,457.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.