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Finding the Third Proportional to 1,057,705.59 and 2,283,739.31

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Solution

The third proportional to 1,057,705.59 and 2,283,739.31 is: 4,930,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,705.59 : 2,283,739.31 = 2,283,739.31 : x
  2. Step 2: Convert to fraction form
    1,057,705.59/2,283,739.31 = 2,283,739.31/x
  3. Step 3: Cross multiply
    1,057,705.59x = 2,283,739.31 × 2,283,739.31
  4. Step 4: Simplify right side
    1,057,705.59x = 5,215,465,247,457.97
  5. Step 5: Solve for x
    x = 5,215,465,247,457.97/1,057,705.59
  6. Step 6: Final answer
    x = 4,930,923.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.