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Finding the Third Proportional to 563,067.07 and 1,214,707.64

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Solution

The third proportional to 563,067.07 and 1,214,707.64 is: 2,620,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,067.07 : 1,214,707.64 = 1,214,707.64 : x
  2. Step 2: Convert to fraction form
    563,067.07/1,214,707.64 = 1,214,707.64/x
  3. Step 3: Cross multiply
    563,067.07x = 1,214,707.64 × 1,214,707.64
  4. Step 4: Simplify right side
    563,067.07x = 1,475,514,652,192.75
  5. Step 5: Solve for x
    x = 1,475,514,652,192.75/563,067.07
  6. Step 6: Final answer
    x = 2,620,495.37

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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.