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Finding the Third Proportional to 783,081 and 1,709,973

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Solution

The third proportional to 783,081 and 1,709,973 is: 3,733,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,081 : 1,709,973 = 1,709,973 : x
  2. Step 2: Convert to fraction form
    783,081/1,709,973 = 1,709,973/x
  3. Step 3: Cross multiply
    783,081x = 1,709,973 × 1,709,973
  4. Step 4: Simplify right side
    783,081x = 2,924,007,660,729
  5. Step 5: Solve for x
    x = 2,924,007,660,729/783,081
  6. Step 6: Final answer
    x = 3,733,978.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.