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Finding the Third Proportional to 839,705 and 1,799,207.50

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Solution

The third proportional to 839,705 and 1,799,207.50 is: 3,855,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,705 : 1,799,207.50 = 1,799,207.50 : x
  2. Step 2: Convert to fraction form
    839,705/1,799,207.50 = 1,799,207.50/x
  3. Step 3: Cross multiply
    839,705x = 1,799,207.50 × 1,799,207.50
  4. Step 4: Simplify right side
    839,705x = 3,237,147,628,056.25
  5. Step 5: Solve for x
    x = 3,237,147,628,056.25/839,705
  6. Step 6: Final answer
    x = 3,855,101.05

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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.