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Finding the Third Proportional to 434,048 and 894,080

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Solution

The third proportional to 434,048 and 894,080 is: 1,841,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,048 : 894,080 = 894,080 : x
  2. Step 2: Convert to fraction form
    434,048/894,080 = 894,080/x
  3. Step 3: Cross multiply
    434,048x = 894,080 × 894,080
  4. Step 4: Simplify right side
    434,048x = 799,379,046,400
  5. Step 5: Solve for x
    x = 799,379,046,400/434,048
  6. Step 6: Final answer
    x = 1,841,683.52

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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.