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Finding the Third Proportional to 695,743.88 and 1,496,664

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Solution

The third proportional to 695,743.88 and 1,496,664 is: 3,219,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,743.88 : 1,496,664 = 1,496,664 : x
  2. Step 2: Convert to fraction form
    695,743.88/1,496,664 = 1,496,664/x
  3. Step 3: Cross multiply
    695,743.88x = 1,496,664 × 1,496,664
  4. Step 4: Simplify right side
    695,743.88x = 2,240,003,128,896
  5. Step 5: Solve for x
    x = 2,240,003,128,896/695,743.88
  6. Step 6: Final answer
    x = 3,219,580.09

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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.