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Finding the Third Proportional to 2,182,631.06 and 4,505,378.63

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Solution

The third proportional to 2,182,631.06 and 4,505,378.63 is: 9,299,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,631.06 : 4,505,378.63 = 4,505,378.63 : x
  2. Step 2: Convert to fraction form
    2,182,631.06/4,505,378.63 = 4,505,378.63/x
  3. Step 3: Cross multiply
    2,182,631.06x = 4,505,378.63 × 4,505,378.63
  4. Step 4: Simplify right side
    2,182,631.06x = 20,298,436,554,606.89
  5. Step 5: Solve for x
    x = 20,298,436,554,606.89/2,182,631.06
  6. Step 6: Final answer
    x = 9,299,985.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.