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Finding the Third Proportional to 456,929.13 and 990,052.25

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Solution

The third proportional to 456,929.13 and 990,052.25 is: 2,145,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,929.13 : 990,052.25 = 990,052.25 : x
  2. Step 2: Convert to fraction form
    456,929.13/990,052.25 = 990,052.25/x
  3. Step 3: Cross multiply
    456,929.13x = 990,052.25 × 990,052.25
  4. Step 4: Simplify right side
    456,929.13x = 980,203,457,730.06
  5. Step 5: Solve for x
    x = 980,203,457,730.06/456,929.13
  6. Step 6: Final answer
    x = 2,145,198.03

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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.