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Finding the Third Proportional to 788,400 and 1,727,964

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Solution

The third proportional to 788,400 and 1,727,964 is: 3,787,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,400 : 1,727,964 = 1,727,964 : x
  2. Step 2: Convert to fraction form
    788,400/1,727,964 = 1,727,964/x
  3. Step 3: Cross multiply
    788,400x = 1,727,964 × 1,727,964
  4. Step 4: Simplify right side
    788,400x = 2,985,859,585,296
  5. Step 5: Solve for x
    x = 2,985,859,585,296/788,400
  6. Step 6: Final answer
    x = 3,787,239.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.