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Finding the Third Proportional to 1,024,538.63 and 2,229,666.75

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Solution

The third proportional to 1,024,538.63 and 2,229,666.75 is: 4,852,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,538.63 : 2,229,666.75 = 2,229,666.75 : x
  2. Step 2: Convert to fraction form
    1,024,538.63/2,229,666.75 = 2,229,666.75/x
  3. Step 3: Cross multiply
    1,024,538.63x = 2,229,666.75 × 2,229,666.75
  4. Step 4: Simplify right side
    1,024,538.63x = 4,971,413,816,055.56
  5. Step 5: Solve for x
    x = 4,971,413,816,055.56/1,024,538.63
  6. Step 6: Final answer
    x = 4,852,343.97

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Why These Related Problems?

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