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Finding the Third Proportional to 851,047 and 1,814,737

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Solution

The third proportional to 851,047 and 1,814,737 is: 3,869,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,047 : 1,814,737 = 1,814,737 : x
  2. Step 2: Convert to fraction form
    851,047/1,814,737 = 1,814,737/x
  3. Step 3: Cross multiply
    851,047x = 1,814,737 × 1,814,737
  4. Step 4: Simplify right side
    851,047x = 3,293,270,379,169
  5. Step 5: Solve for x
    x = 3,293,270,379,169/851,047
  6. Step 6: Final answer
    x = 3,869,669.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.