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Finding the Third Proportional to 590,982 and 1,306,380

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Solution

The third proportional to 590,982 and 1,306,380 is: 2,887,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,982 : 1,306,380 = 1,306,380 : x
  2. Step 2: Convert to fraction form
    590,982/1,306,380 = 1,306,380/x
  3. Step 3: Cross multiply
    590,982x = 1,306,380 × 1,306,380
  4. Step 4: Simplify right side
    590,982x = 1,706,628,704,400
  5. Step 5: Solve for x
    x = 1,706,628,704,400/590,982
  6. Step 6: Final answer
    x = 2,887,784.58

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.