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Finding the Third Proportional to 410,859 and 896,460.75

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Solution

The third proportional to 410,859 and 896,460.75 is: 1,956,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,859 : 896,460.75 = 896,460.75 : x
  2. Step 2: Convert to fraction form
    410,859/896,460.75 = 896,460.75/x
  3. Step 3: Cross multiply
    410,859x = 896,460.75 × 896,460.75
  4. Step 4: Simplify right side
    410,859x = 803,641,876,290.56
  5. Step 5: Solve for x
    x = 803,641,876,290.56/410,859
  6. Step 6: Final answer
    x = 1,956,004.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.