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Finding the Third Proportional to 384,020 and 897,160

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Solution

The third proportional to 384,020 and 897,160 is: 2,095,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,020 : 897,160 = 897,160 : x
  2. Step 2: Convert to fraction form
    384,020/897,160 = 897,160/x
  3. Step 3: Cross multiply
    384,020x = 897,160 × 897,160
  4. Step 4: Simplify right side
    384,020x = 804,896,065,600
  5. Step 5: Solve for x
    x = 804,896,065,600/384,020
  6. Step 6: Final answer
    x = 2,095,974.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.