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Finding the Third Proportional to 729,274 and 1,590,128

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Solution

The third proportional to 729,274 and 1,590,128 is: 3,467,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,274 : 1,590,128 = 1,590,128 : x
  2. Step 2: Convert to fraction form
    729,274/1,590,128 = 1,590,128/x
  3. Step 3: Cross multiply
    729,274x = 1,590,128 × 1,590,128
  4. Step 4: Simplify right side
    729,274x = 2,528,507,056,384
  5. Step 5: Solve for x
    x = 2,528,507,056,384/729,274
  6. Step 6: Final answer
    x = 3,467,156.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.