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Finding the Third Proportional to 825,870 and 1,223,451

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Solution

The third proportional to 825,870 and 1,223,451 is: 1,812,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,870 : 1,223,451 = 1,223,451 : x
  2. Step 2: Convert to fraction form
    825,870/1,223,451 = 1,223,451/x
  3. Step 3: Cross multiply
    825,870x = 1,223,451 × 1,223,451
  4. Step 4: Simplify right side
    825,870x = 1,496,832,349,401
  5. Step 5: Solve for x
    x = 1,496,832,349,401/825,870
  6. Step 6: Final answer
    x = 1,812,430.95

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.