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Finding the Third Proportional to 803,766 and 1,733,727

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Solution

The third proportional to 803,766 and 1,733,727 is: 3,739,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,766 : 1,733,727 = 1,733,727 : x
  2. Step 2: Convert to fraction form
    803,766/1,733,727 = 1,733,727/x
  3. Step 3: Cross multiply
    803,766x = 1,733,727 × 1,733,727
  4. Step 4: Simplify right side
    803,766x = 3,005,809,310,529
  5. Step 5: Solve for x
    x = 3,005,809,310,529/803,766
  6. Step 6: Final answer
    x = 3,739,657.20

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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.