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Finding the Third Proportional to 434,724 and 897,384

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Solution

The third proportional to 434,724 and 897,384 is: 1,852,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,724 : 897,384 = 897,384 : x
  2. Step 2: Convert to fraction form
    434,724/897,384 = 897,384/x
  3. Step 3: Cross multiply
    434,724x = 897,384 × 897,384
  4. Step 4: Simplify right side
    434,724x = 805,298,043,456
  5. Step 5: Solve for x
    x = 805,298,043,456/434,724
  6. Step 6: Final answer
    x = 1,852,435.21

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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.