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Finding the Third Proportional to 1,634,013 and 3,590,497.13

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Solution

The third proportional to 1,634,013 and 3,590,497.13 is: 7,889,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,013 : 3,590,497.13 = 3,590,497.13 : x
  2. Step 2: Convert to fraction form
    1,634,013/3,590,497.13 = 3,590,497.13/x
  3. Step 3: Cross multiply
    1,634,013x = 3,590,497.13 × 3,590,497.13
  4. Step 4: Simplify right side
    1,634,013x = 12,891,669,604,633.27
  5. Step 5: Solve for x
    x = 12,891,669,604,633.27/1,634,013
  6. Step 6: Final answer
    x = 7,889,575.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.