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Finding the Third Proportional to 1,053,207.56 and 2,268,644.63

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Solution

The third proportional to 1,053,207.56 and 2,268,644.63 is: 4,886,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,207.56 : 2,268,644.63 = 2,268,644.63 : x
  2. Step 2: Convert to fraction form
    1,053,207.56/2,268,644.63 = 2,268,644.63/x
  3. Step 3: Cross multiply
    1,053,207.56x = 2,268,644.63 × 2,268,644.63
  4. Step 4: Simplify right side
    1,053,207.56x = 5,146,748,434,541.39
  5. Step 5: Solve for x
    x = 5,146,748,434,541.39/1,053,207.56
  6. Step 6: Final answer
    x = 4,886,737.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.