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Finding the Third Proportional to 816,674 and 1,197,315

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Solution

The third proportional to 816,674 and 1,197,315 is: 1,755,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,674 : 1,197,315 = 1,197,315 : x
  2. Step 2: Convert to fraction form
    816,674/1,197,315 = 1,197,315/x
  3. Step 3: Cross multiply
    816,674x = 1,197,315 × 1,197,315
  4. Step 4: Simplify right side
    816,674x = 1,433,563,209,225
  5. Step 5: Solve for x
    x = 1,433,563,209,225/816,674
  6. Step 6: Final answer
    x = 1,755,367.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.