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Finding the Third Proportional to 434,726 and 897,388

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Solution

The third proportional to 434,726 and 897,388 is: 1,852,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,726 : 897,388 = 897,388 : x
  2. Step 2: Convert to fraction form
    434,726/897,388 = 897,388/x
  3. Step 3: Cross multiply
    434,726x = 897,388 × 897,388
  4. Step 4: Simplify right side
    434,726x = 805,305,222,544
  5. Step 5: Solve for x
    x = 805,305,222,544/434,726
  6. Step 6: Final answer
    x = 1,852,443.20

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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.