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Finding the Third Proportional to 788,395 and 1,729,394

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Solution

The third proportional to 788,395 and 1,729,394 is: 3,793,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,395 : 1,729,394 = 1,729,394 : x
  2. Step 2: Convert to fraction form
    788,395/1,729,394 = 1,729,394/x
  3. Step 3: Cross multiply
    788,395x = 1,729,394 × 1,729,394
  4. Step 4: Simplify right side
    788,395x = 2,990,803,607,236
  5. Step 5: Solve for x
    x = 2,990,803,607,236/788,395
  6. Step 6: Final answer
    x = 3,793,534.47

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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.