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Finding the Third Proportional to 843,939 and 1,808,430

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Solution

The third proportional to 843,939 and 1,808,430 is: 3,875,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,939 : 1,808,430 = 1,808,430 : x
  2. Step 2: Convert to fraction form
    843,939/1,808,430 = 1,808,430/x
  3. Step 3: Cross multiply
    843,939x = 1,808,430 × 1,808,430
  4. Step 4: Simplify right side
    843,939x = 3,270,419,064,900
  5. Step 5: Solve for x
    x = 3,270,419,064,900/843,939
  6. Step 6: Final answer
    x = 3,875,184.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.