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Finding the Third Proportional to 820,085 and 1,154,356

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Solution

The third proportional to 820,085 and 1,154,356 is: 1,624,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,085 : 1,154,356 = 1,154,356 : x
  2. Step 2: Convert to fraction form
    820,085/1,154,356 = 1,154,356/x
  3. Step 3: Cross multiply
    820,085x = 1,154,356 × 1,154,356
  4. Step 4: Simplify right side
    820,085x = 1,332,537,774,736
  5. Step 5: Solve for x
    x = 1,332,537,774,736/820,085
  6. Step 6: Final answer
    x = 1,624,877.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.