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Finding the Third Proportional to 798,610 and 1,731,964

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Solution

The third proportional to 798,610 and 1,731,964 is: 3,756,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,610 : 1,731,964 = 1,731,964 : x
  2. Step 2: Convert to fraction form
    798,610/1,731,964 = 1,731,964/x
  3. Step 3: Cross multiply
    798,610x = 1,731,964 × 1,731,964
  4. Step 4: Simplify right side
    798,610x = 2,999,699,297,296
  5. Step 5: Solve for x
    x = 2,999,699,297,296/798,610
  6. Step 6: Final answer
    x = 3,756,150.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.