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Finding the Third Proportional to 676,172 and 1,046,451

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Solution

The third proportional to 676,172 and 1,046,451 is: 1,619,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,172 : 1,046,451 = 1,046,451 : x
  2. Step 2: Convert to fraction form
    676,172/1,046,451 = 1,046,451/x
  3. Step 3: Cross multiply
    676,172x = 1,046,451 × 1,046,451
  4. Step 4: Simplify right side
    676,172x = 1,095,059,695,401
  5. Step 5: Solve for x
    x = 1,095,059,695,401/676,172
  6. Step 6: Final answer
    x = 1,619,498.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.