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Finding the Third Proportional to 924,167.81 and 1,984,947.19

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Solution

The third proportional to 924,167.81 and 1,984,947.19 is: 4,263,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,167.81 : 1,984,947.19 = 1,984,947.19 : x
  2. Step 2: Convert to fraction form
    924,167.81/1,984,947.19 = 1,984,947.19/x
  3. Step 3: Cross multiply
    924,167.81x = 1,984,947.19 × 1,984,947.19
  4. Step 4: Simplify right side
    924,167.81x = 3,940,015,337,164.16
  5. Step 5: Solve for x
    x = 3,940,015,337,164.16/924,167.81
  6. Step 6: Final answer
    x = 4,263,311.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.