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Finding the Third Proportional to 824,620 and 1,176,066

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Solution

The third proportional to 824,620 and 1,176,066 is: 1,677,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,620 : 1,176,066 = 1,176,066 : x
  2. Step 2: Convert to fraction form
    824,620/1,176,066 = 1,176,066/x
  3. Step 3: Cross multiply
    824,620x = 1,176,066 × 1,176,066
  4. Step 4: Simplify right side
    824,620x = 1,383,131,236,356
  5. Step 5: Solve for x
    x = 1,383,131,236,356/824,620
  6. Step 6: Final answer
    x = 1,677,295.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.