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Finding the Third Proportional to 788,411 and 1,729,426

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Solution

The third proportional to 788,411 and 1,729,426 is: 3,793,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,411 : 1,729,426 = 1,729,426 : x
  2. Step 2: Convert to fraction form
    788,411/1,729,426 = 1,729,426/x
  3. Step 3: Cross multiply
    788,411x = 1,729,426 × 1,729,426
  4. Step 4: Simplify right side
    788,411x = 2,990,914,289,476
  5. Step 5: Solve for x
    x = 2,990,914,289,476/788,411
  6. Step 6: Final answer
    x = 3,793,597.87

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