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Finding the Third Proportional to 465,853.78 and 1,023,288.19

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Solution

The third proportional to 465,853.78 and 1,023,288.19 is: 2,247,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,853.78 : 1,023,288.19 = 1,023,288.19 : x
  2. Step 2: Convert to fraction form
    465,853.78/1,023,288.19 = 1,023,288.19/x
  3. Step 3: Cross multiply
    465,853.78x = 1,023,288.19 × 1,023,288.19
  4. Step 4: Simplify right side
    465,853.78x = 1,047,118,714,677.04
  5. Step 5: Solve for x
    x = 1,047,118,714,677.04/465,853.78
  6. Step 6: Final answer
    x = 2,247,741.15

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Why These Related Problems?

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