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Finding the Third Proportional to 756,783 and 1,138,353

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Solution

The third proportional to 756,783 and 1,138,353 is: 1,712,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,783 : 1,138,353 = 1,138,353 : x
  2. Step 2: Convert to fraction form
    756,783/1,138,353 = 1,138,353/x
  3. Step 3: Cross multiply
    756,783x = 1,138,353 × 1,138,353
  4. Step 4: Simplify right side
    756,783x = 1,295,847,552,609
  5. Step 5: Solve for x
    x = 1,295,847,552,609/756,783
  6. Step 6: Final answer
    x = 1,712,310.60

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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.