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Finding the Third Proportional to 1,869,729 and 4,095,210

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Solution

The third proportional to 1,869,729 and 4,095,210 is: 8,969,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,729 : 4,095,210 = 4,095,210 : x
  2. Step 2: Convert to fraction form
    1,869,729/4,095,210 = 4,095,210/x
  3. Step 3: Cross multiply
    1,869,729x = 4,095,210 × 4,095,210
  4. Step 4: Simplify right side
    1,869,729x = 16,770,744,944,100
  5. Step 5: Solve for x
    x = 16,770,744,944,100/1,869,729
  6. Step 6: Final answer
    x = 8,969,612.68

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