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Finding the Third Proportional to 598,822 and 1,330,506

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Solution

The third proportional to 598,822 and 1,330,506 is: 2,956,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,822 : 1,330,506 = 1,330,506 : x
  2. Step 2: Convert to fraction form
    598,822/1,330,506 = 1,330,506/x
  3. Step 3: Cross multiply
    598,822x = 1,330,506 × 1,330,506
  4. Step 4: Simplify right side
    598,822x = 1,770,246,216,036
  5. Step 5: Solve for x
    x = 1,770,246,216,036/598,822
  6. Step 6: Final answer
    x = 2,956,214.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.