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Finding the Third Proportional to 1,680,424 and 3,687,385

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Solution

The third proportional to 1,680,424 and 3,687,385 is: 8,091,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,424 : 3,687,385 = 3,687,385 : x
  2. Step 2: Convert to fraction form
    1,680,424/3,687,385 = 3,687,385/x
  3. Step 3: Cross multiply
    1,680,424x = 3,687,385 × 3,687,385
  4. Step 4: Simplify right side
    1,680,424x = 13,596,808,138,225
  5. Step 5: Solve for x
    x = 13,596,808,138,225/1,680,424
  6. Step 6: Final answer
    x = 8,091,296.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.