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Finding the Third Proportional to 598,968 and 1,308,470.63

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Solution

The third proportional to 598,968 and 1,308,470.63 is: 2,858,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,968 : 1,308,470.63 = 1,308,470.63 : x
  2. Step 2: Convert to fraction form
    598,968/1,308,470.63 = 1,308,470.63/x
  3. Step 3: Cross multiply
    598,968x = 1,308,470.63 × 1,308,470.63
  4. Step 4: Simplify right side
    598,968x = 1,712,095,376,487.89
  5. Step 5: Solve for x
    x = 1,712,095,376,487.89/598,968
  6. Step 6: Final answer
    x = 2,858,408.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.