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Finding the Third Proportional to 1,323,999.84 and 2,045,885.34

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Solution

The third proportional to 1,323,999.84 and 2,045,885.34 is: 3,161,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323,999.84 : 2,045,885.34 = 2,045,885.34 : x
  2. Step 2: Convert to fraction form
    1,323,999.84/2,045,885.34 = 2,045,885.34/x
  3. Step 3: Cross multiply
    1,323,999.84x = 2,045,885.34 × 2,045,885.34
  4. Step 4: Simplify right side
    1,323,999.84x = 4,185,646,839,771.06
  5. Step 5: Solve for x
    x = 4,185,646,839,771.06/1,323,999.84
  6. Step 6: Final answer
    x = 3,161,365.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.