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Finding the Third Proportional to 803,767 and 1,733,731

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Solution

The third proportional to 803,767 and 1,733,731 is: 3,739,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,767 : 1,733,731 = 1,733,731 : x
  2. Step 2: Convert to fraction form
    803,767/1,733,731 = 1,733,731/x
  3. Step 3: Cross multiply
    803,767x = 1,733,731 × 1,733,731
  4. Step 4: Simplify right side
    803,767x = 3,005,823,180,361
  5. Step 5: Solve for x
    x = 3,005,823,180,361/803,767
  6. Step 6: Final answer
    x = 3,739,669.81

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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.