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Finding the Third Proportional to 434,732 and 897,400

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Solution

The third proportional to 434,732 and 897,400 is: 1,852,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,732 : 897,400 = 897,400 : x
  2. Step 2: Convert to fraction form
    434,732/897,400 = 897,400/x
  3. Step 3: Cross multiply
    434,732x = 897,400 × 897,400
  4. Step 4: Simplify right side
    434,732x = 805,326,760,000
  5. Step 5: Solve for x
    x = 805,326,760,000/434,732
  6. Step 6: Final answer
    x = 1,852,467.18

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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.