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Finding the Third Proportional to 839,565 and 1,811,808

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Solution

The third proportional to 839,565 and 1,811,808 is: 3,909,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,565 : 1,811,808 = 1,811,808 : x
  2. Step 2: Convert to fraction form
    839,565/1,811,808 = 1,811,808/x
  3. Step 3: Cross multiply
    839,565x = 1,811,808 × 1,811,808
  4. Step 4: Simplify right side
    839,565x = 3,282,648,228,864
  5. Step 5: Solve for x
    x = 3,282,648,228,864/839,565
  6. Step 6: Final answer
    x = 3,909,939.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.