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Finding the Third Proportional to 1,680,416 and 3,687,400

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Solution

The third proportional to 1,680,416 and 3,687,400 is: 8,091,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,416 : 3,687,400 = 3,687,400 : x
  2. Step 2: Convert to fraction form
    1,680,416/3,687,400 = 3,687,400/x
  3. Step 3: Cross multiply
    1,680,416x = 3,687,400 × 3,687,400
  4. Step 4: Simplify right side
    1,680,416x = 13,596,918,760,000
  5. Step 5: Solve for x
    x = 13,596,918,760,000/1,680,416
  6. Step 6: Final answer
    x = 8,091,400.44

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Why These Related Problems?

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