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Finding the Third Proportional to 865,128 and 1,849,824

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Solution

The third proportional to 865,128 and 1,849,824 is: 3,955,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,128 : 1,849,824 = 1,849,824 : x
  2. Step 2: Convert to fraction form
    865,128/1,849,824 = 1,849,824/x
  3. Step 3: Cross multiply
    865,128x = 1,849,824 × 1,849,824
  4. Step 4: Simplify right side
    865,128x = 3,421,848,830,976
  5. Step 5: Solve for x
    x = 3,421,848,830,976/865,128
  6. Step 6: Final answer
    x = 3,955,309.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.