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Finding the Third Proportional to 713,770 and 1,545,149

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Solution

The third proportional to 713,770 and 1,545,149 is: 3,344,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,770 : 1,545,149 = 1,545,149 : x
  2. Step 2: Convert to fraction form
    713,770/1,545,149 = 1,545,149/x
  3. Step 3: Cross multiply
    713,770x = 1,545,149 × 1,545,149
  4. Step 4: Simplify right side
    713,770x = 2,387,485,432,201
  5. Step 5: Solve for x
    x = 2,387,485,432,201/713,770
  6. Step 6: Final answer
    x = 3,344,894.62

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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.