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Finding the Third Proportional to 605,740 and 1,321,506

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Solution

The third proportional to 605,740 and 1,321,506 is: 2,883,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,740 : 1,321,506 = 1,321,506 : x
  2. Step 2: Convert to fraction form
    605,740/1,321,506 = 1,321,506/x
  3. Step 3: Cross multiply
    605,740x = 1,321,506 × 1,321,506
  4. Step 4: Simplify right side
    605,740x = 1,746,378,108,036
  5. Step 5: Solve for x
    x = 1,746,378,108,036/605,740
  6. Step 6: Final answer
    x = 2,883,049.01

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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.