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Finding the Third Proportional to 803,772 and 1,733,740

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Solution

The third proportional to 803,772 and 1,733,740 is: 3,739,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,772 : 1,733,740 = 1,733,740 : x
  2. Step 2: Convert to fraction form
    803,772/1,733,740 = 1,733,740/x
  3. Step 3: Cross multiply
    803,772x = 1,733,740 × 1,733,740
  4. Step 4: Simplify right side
    803,772x = 3,005,854,387,600
  5. Step 5: Solve for x
    x = 3,005,854,387,600/803,772
  6. Step 6: Final answer
    x = 3,739,685.37

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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.