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Finding the Third Proportional to 473,171.63 and 1,026,204.19

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Solution

The third proportional to 473,171.63 and 1,026,204.19 is: 2,225,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,171.63 : 1,026,204.19 = 1,026,204.19 : x
  2. Step 2: Convert to fraction form
    473,171.63/1,026,204.19 = 1,026,204.19/x
  3. Step 3: Cross multiply
    473,171.63x = 1,026,204.19 × 1,026,204.19
  4. Step 4: Simplify right side
    473,171.63x = 1,053,095,034,442.54
  5. Step 5: Solve for x
    x = 1,053,095,034,442.54/473,171.63
  6. Step 6: Final answer
    x = 2,225,609.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.