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Finding the Third Proportional to 589,340 and 1,272,586

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Solution

The third proportional to 589,340 and 1,272,586 is: 2,747,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,340 : 1,272,586 = 1,272,586 : x
  2. Step 2: Convert to fraction form
    589,340/1,272,586 = 1,272,586/x
  3. Step 3: Cross multiply
    589,340x = 1,272,586 × 1,272,586
  4. Step 4: Simplify right side
    589,340x = 1,619,475,127,396
  5. Step 5: Solve for x
    x = 1,619,475,127,396/589,340
  6. Step 6: Final answer
    x = 2,747,947.07

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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.