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Finding the Third Proportional to 1,900,705 and 4,136,015

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Solution

The third proportional to 1,900,705 and 4,136,015 is: 9,000,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,705 : 4,136,015 = 4,136,015 : x
  2. Step 2: Convert to fraction form
    1,900,705/4,136,015 = 4,136,015/x
  3. Step 3: Cross multiply
    1,900,705x = 4,136,015 × 4,136,015
  4. Step 4: Simplify right side
    1,900,705x = 17,106,620,080,225
  5. Step 5: Solve for x
    x = 17,106,620,080,225/1,900,705
  6. Step 6: Final answer
    x = 9,000,144.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.