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Finding the Third Proportional to 924,050 and 1,382,315

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Solution

The third proportional to 924,050 and 1,382,315 is: 2,067,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,050 : 1,382,315 = 1,382,315 : x
  2. Step 2: Convert to fraction form
    924,050/1,382,315 = 1,382,315/x
  3. Step 3: Cross multiply
    924,050x = 1,382,315 × 1,382,315
  4. Step 4: Simplify right side
    924,050x = 1,910,794,759,225
  5. Step 5: Solve for x
    x = 1,910,794,759,225/924,050
  6. Step 6: Final answer
    x = 2,067,847.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.