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Finding the Third Proportional to 713,144 and 1,566,264

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Solution

The third proportional to 713,144 and 1,566,264 is: 3,439,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,144 : 1,566,264 = 1,566,264 : x
  2. Step 2: Convert to fraction form
    713,144/1,566,264 = 1,566,264/x
  3. Step 3: Cross multiply
    713,144x = 1,566,264 × 1,566,264
  4. Step 4: Simplify right side
    713,144x = 2,453,182,917,696
  5. Step 5: Solve for x
    x = 2,453,182,917,696/713,144
  6. Step 6: Final answer
    x = 3,439,954.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.