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Finding the Third Proportional to 841,448.25 and 1,732,514.06

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Solution

The third proportional to 841,448.25 and 1,732,514.06 is: 3,567,189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,448.25 : 1,732,514.06 = 1,732,514.06 : x
  2. Step 2: Convert to fraction form
    841,448.25/1,732,514.06 = 1,732,514.06/x
  3. Step 3: Cross multiply
    841,448.25x = 1,732,514.06 × 1,732,514.06
  4. Step 4: Simplify right side
    841,448.25x = 3,001,604,976,760.25
  5. Step 5: Solve for x
    x = 3,001,604,976,760.25/841,448.25
  6. Step 6: Final answer
    x = 3,567,189.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.