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Finding the Third Proportional to 1,217,295 and 1,899,635.63

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Solution

The third proportional to 1,217,295 and 1,899,635.63 is: 2,964,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,295 : 1,899,635.63 = 1,899,635.63 : x
  2. Step 2: Convert to fraction form
    1,217,295/1,899,635.63 = 1,899,635.63/x
  3. Step 3: Cross multiply
    1,217,295x = 1,899,635.63 × 1,899,635.63
  4. Step 4: Simplify right side
    1,217,295x = 3,608,615,507,769.14
  5. Step 5: Solve for x
    x = 3,608,615,507,769.14/1,217,295
  6. Step 6: Final answer
    x = 2,964,454.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.