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Finding the Third Proportional to 492,054.05 and 1,023,379.03

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Solution

The third proportional to 492,054.05 and 1,023,379.03 is: 2,128,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,054.05 : 1,023,379.03 = 1,023,379.03 : x
  2. Step 2: Convert to fraction form
    492,054.05/1,023,379.03 = 1,023,379.03/x
  3. Step 3: Cross multiply
    492,054.05x = 1,023,379.03 × 1,023,379.03
  4. Step 4: Simplify right side
    492,054.05x = 1,047,304,641,602.19
  5. Step 5: Solve for x
    x = 1,047,304,641,602.19/492,054.05
  6. Step 6: Final answer
    x = 2,128,434.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.