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Finding the Third Proportional to 728,140 and 1,575,512

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Solution

The third proportional to 728,140 and 1,575,512 is: 3,409,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,140 : 1,575,512 = 1,575,512 : x
  2. Step 2: Convert to fraction form
    728,140/1,575,512 = 1,575,512/x
  3. Step 3: Cross multiply
    728,140x = 1,575,512 × 1,575,512
  4. Step 4: Simplify right side
    728,140x = 2,482,238,062,144
  5. Step 5: Solve for x
    x = 2,482,238,062,144/728,140
  6. Step 6: Final answer
    x = 3,409,012.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.