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Finding the Third Proportional to 388,964 and 804,926

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Solution

The third proportional to 388,964 and 804,926 is: 1,665,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,964 : 804,926 = 804,926 : x
  2. Step 2: Convert to fraction form
    388,964/804,926 = 804,926/x
  3. Step 3: Cross multiply
    388,964x = 804,926 × 804,926
  4. Step 4: Simplify right side
    388,964x = 647,905,865,476
  5. Step 5: Solve for x
    x = 647,905,865,476/388,964
  6. Step 6: Final answer
    x = 1,665,721.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.