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Finding the Third Proportional to 1,810,411 and 3,769,635

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Solution

The third proportional to 1,810,411 and 3,769,635 is: 7,849,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810,411 : 3,769,635 = 3,769,635 : x
  2. Step 2: Convert to fraction form
    1,810,411/3,769,635 = 3,769,635/x
  3. Step 3: Cross multiply
    1,810,411x = 3,769,635 × 3,769,635
  4. Step 4: Simplify right side
    1,810,411x = 14,210,148,033,225
  5. Step 5: Solve for x
    x = 14,210,148,033,225/1,810,411
  6. Step 6: Final answer
    x = 7,849,128.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.