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Finding the Third Proportional to 804,202 and 1,731,964

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Solution

The third proportional to 804,202 and 1,731,964 is: 3,730,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,202 : 1,731,964 = 1,731,964 : x
  2. Step 2: Convert to fraction form
    804,202/1,731,964 = 1,731,964/x
  3. Step 3: Cross multiply
    804,202x = 1,731,964 × 1,731,964
  4. Step 4: Simplify right side
    804,202x = 2,999,699,297,296
  5. Step 5: Solve for x
    x = 2,999,699,297,296/804,202
  6. Step 6: Final answer
    x = 3,730,032.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.