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Finding the Third Proportional to 1,817,381.81 and 2,851,187.34

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Solution

The third proportional to 1,817,381.81 and 2,851,187.34 is: 4,473,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,381.81 : 2,851,187.34 = 2,851,187.34 : x
  2. Step 2: Convert to fraction form
    1,817,381.81/2,851,187.34 = 2,851,187.34/x
  3. Step 3: Cross multiply
    1,817,381.81x = 2,851,187.34 × 2,851,187.34
  4. Step 4: Simplify right side
    1,817,381.81x = 8,129,269,269,160.18
  5. Step 5: Solve for x
    x = 8,129,269,269,160.18/1,817,381.81
  6. Step 6: Final answer
    x = 4,473,066.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.