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Finding the Third Proportional to 643,900.64 and 1,019,364.12

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Solution

The third proportional to 643,900.64 and 1,019,364.12 is: 1,613,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,900.64 : 1,019,364.12 = 1,019,364.12 : x
  2. Step 2: Convert to fraction form
    643,900.64/1,019,364.12 = 1,019,364.12/x
  3. Step 3: Cross multiply
    643,900.64x = 1,019,364.12 × 1,019,364.12
  4. Step 4: Simplify right side
    643,900.64x = 1,039,103,203,409.45
  5. Step 5: Solve for x
    x = 1,039,103,203,409.45/643,900.64
  6. Step 6: Final answer
    x = 1,613,763.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.