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Finding the Third Proportional to 712,848.09 and 1,484,676.84

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Solution

The third proportional to 712,848.09 and 1,484,676.84 is: 3,092,195.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,848.09 : 1,484,676.84 = 1,484,676.84 : x
  2. Step 2: Convert to fraction form
    712,848.09/1,484,676.84 = 1,484,676.84/x
  3. Step 3: Cross multiply
    712,848.09x = 1,484,676.84 × 1,484,676.84
  4. Step 4: Simplify right side
    712,848.09x = 2,204,265,330,367.46
  5. Step 5: Solve for x
    x = 2,204,265,330,367.46/712,848.09
  6. Step 6: Final answer
    x = 3,092,195.03

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.