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Finding the Third Proportional to 1,035,293.91 and 2,214,519.75

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Solution

The third proportional to 1,035,293.91 and 2,214,519.75 is: 4,736,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,293.91 : 2,214,519.75 = 2,214,519.75 : x
  2. Step 2: Convert to fraction form
    1,035,293.91/2,214,519.75 = 2,214,519.75/x
  3. Step 3: Cross multiply
    1,035,293.91x = 2,214,519.75 × 2,214,519.75
  4. Step 4: Simplify right side
    1,035,293.91x = 4,904,097,723,140.06
  5. Step 5: Solve for x
    x = 4,904,097,723,140.06/1,035,293.91
  6. Step 6: Final answer
    x = 4,736,913.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.