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Finding the Third Proportional to 788,426 and 1,729,456

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Solution

The third proportional to 788,426 and 1,729,456 is: 3,793,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,426 : 1,729,456 = 1,729,456 : x
  2. Step 2: Convert to fraction form
    788,426/1,729,456 = 1,729,456/x
  3. Step 3: Cross multiply
    788,426x = 1,729,456 × 1,729,456
  4. Step 4: Simplify right side
    788,426x = 2,991,018,055,936
  5. Step 5: Solve for x
    x = 2,991,018,055,936/788,426
  6. Step 6: Final answer
    x = 3,793,657.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.