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Finding the Third Proportional to 802,921.75 and 1,182,203.50

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Solution

The third proportional to 802,921.75 and 1,182,203.50 is: 1,740,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,921.75 : 1,182,203.50 = 1,182,203.50 : x
  2. Step 2: Convert to fraction form
    802,921.75/1,182,203.50 = 1,182,203.50/x
  3. Step 3: Cross multiply
    802,921.75x = 1,182,203.50 × 1,182,203.50
  4. Step 4: Simplify right side
    802,921.75x = 1,397,605,115,412.25
  5. Step 5: Solve for x
    x = 1,397,605,115,412.25/802,921.75
  6. Step 6: Final answer
    x = 1,740,649.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.