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Finding the Third Proportional to 803,776 and 1,733,751

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Solution

The third proportional to 803,776 and 1,733,751 is: 3,739,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,776 : 1,733,751 = 1,733,751 : x
  2. Step 2: Convert to fraction form
    803,776/1,733,751 = 1,733,751/x
  3. Step 3: Cross multiply
    803,776x = 1,733,751 × 1,733,751
  4. Step 4: Simplify right side
    803,776x = 3,005,892,530,001
  5. Step 5: Solve for x
    x = 3,005,892,530,001/803,776
  6. Step 6: Final answer
    x = 3,739,714.21

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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.