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Finding the Third Proportional to 433,792 and 894,368

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Solution

The third proportional to 433,792 and 894,368 is: 1,843,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,792 : 894,368 = 894,368 : x
  2. Step 2: Convert to fraction form
    433,792/894,368 = 894,368/x
  3. Step 3: Cross multiply
    433,792x = 894,368 × 894,368
  4. Step 4: Simplify right side
    433,792x = 799,894,119,424
  5. Step 5: Solve for x
    x = 799,894,119,424/433,792
  6. Step 6: Final answer
    x = 1,843,957.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.