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Finding the Third Proportional to 841,896 and 1,287,912

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Solution

The third proportional to 841,896 and 1,287,912 is: 1,970,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,896 : 1,287,912 = 1,287,912 : x
  2. Step 2: Convert to fraction form
    841,896/1,287,912 = 1,287,912/x
  3. Step 3: Cross multiply
    841,896x = 1,287,912 × 1,287,912
  4. Step 4: Simplify right side
    841,896x = 1,658,717,319,744
  5. Step 5: Solve for x
    x = 1,658,717,319,744/841,896
  6. Step 6: Final answer
    x = 1,970,216.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.