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Finding the Third Proportional to 1,900,708 and 4,136,021

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Solution

The third proportional to 1,900,708 and 4,136,021 is: 9,000,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,708 : 4,136,021 = 4,136,021 : x
  2. Step 2: Convert to fraction form
    1,900,708/4,136,021 = 4,136,021/x
  3. Step 3: Cross multiply
    1,900,708x = 4,136,021 × 4,136,021
  4. Step 4: Simplify right side
    1,900,708x = 17,106,669,712,441
  5. Step 5: Solve for x
    x = 17,106,669,712,441/1,900,708
  6. Step 6: Final answer
    x = 9,000,156.63

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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.