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Finding the Third Proportional to 784,530 and 1,693,476

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Solution

The third proportional to 784,530 and 1,693,476 is: 3,655,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,530 : 1,693,476 = 1,693,476 : x
  2. Step 2: Convert to fraction form
    784,530/1,693,476 = 1,693,476/x
  3. Step 3: Cross multiply
    784,530x = 1,693,476 × 1,693,476
  4. Step 4: Simplify right side
    784,530x = 2,867,860,962,576
  5. Step 5: Solve for x
    x = 2,867,860,962,576/784,530
  6. Step 6: Final answer
    x = 3,655,514.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.