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Finding the Third Proportional to 598,402 and 1,290,116

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Solution

The third proportional to 598,402 and 1,290,116 is: 2,781,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,402 : 1,290,116 = 1,290,116 : x
  2. Step 2: Convert to fraction form
    598,402/1,290,116 = 1,290,116/x
  3. Step 3: Cross multiply
    598,402x = 1,290,116 × 1,290,116
  4. Step 4: Simplify right side
    598,402x = 1,664,399,293,456
  5. Step 5: Solve for x
    x = 1,664,399,293,456/598,402
  6. Step 6: Final answer
    x = 2,781,406.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.