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Finding the Third Proportional to 924,923 and 2,017,485

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Solution

The third proportional to 924,923 and 2,017,485 is: 4,400,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,923 : 2,017,485 = 2,017,485 : x
  2. Step 2: Convert to fraction form
    924,923/2,017,485 = 2,017,485/x
  3. Step 3: Cross multiply
    924,923x = 2,017,485 × 2,017,485
  4. Step 4: Simplify right side
    924,923x = 4,070,245,725,225
  5. Step 5: Solve for x
    x = 4,070,245,725,225/924,923
  6. Step 6: Final answer
    x = 4,400,631.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.