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Finding the Third Proportional to 713,141 and 1,566,250

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Solution

The third proportional to 713,141 and 1,566,250 is: 3,439,907.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,141 : 1,566,250 = 1,566,250 : x
  2. Step 2: Convert to fraction form
    713,141/1,566,250 = 1,566,250/x
  3. Step 3: Cross multiply
    713,141x = 1,566,250 × 1,566,250
  4. Step 4: Simplify right side
    713,141x = 2,453,139,062,500
  5. Step 5: Solve for x
    x = 2,453,139,062,500/713,141
  6. Step 6: Final answer
    x = 3,439,907.48

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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.