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Finding the Third Proportional to 803,766 and 1,733,732.25

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Solution

The third proportional to 803,766 and 1,733,732.25 is: 3,739,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,766 : 1,733,732.25 = 1,733,732.25 : x
  2. Step 2: Convert to fraction form
    803,766/1,733,732.25 = 1,733,732.25/x
  3. Step 3: Cross multiply
    803,766x = 1,733,732.25 × 1,733,732.25
  4. Step 4: Simplify right side
    803,766x = 3,005,827,514,690.06
  5. Step 5: Solve for x
    x = 3,005,827,514,690.06/803,766
  6. Step 6: Final answer
    x = 3,739,679.85

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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.