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Finding the Third Proportional to 601,624.50 and 1,306,989

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Solution

The third proportional to 601,624.50 and 1,306,989 is: 2,839,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,624.50 : 1,306,989 = 1,306,989 : x
  2. Step 2: Convert to fraction form
    601,624.50/1,306,989 = 1,306,989/x
  3. Step 3: Cross multiply
    601,624.50x = 1,306,989 × 1,306,989
  4. Step 4: Simplify right side
    601,624.50x = 1,708,220,246,121
  5. Step 5: Solve for x
    x = 1,708,220,246,121/601,624.50
  6. Step 6: Final answer
    x = 2,839,346.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.