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Finding the Third Proportional to 444,053 and 959,140

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Solution

The third proportional to 444,053 and 959,140 is: 2,071,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,053 : 959,140 = 959,140 : x
  2. Step 2: Convert to fraction form
    444,053/959,140 = 959,140/x
  3. Step 3: Cross multiply
    444,053x = 959,140 × 959,140
  4. Step 4: Simplify right side
    444,053x = 919,949,539,600
  5. Step 5: Solve for x
    x = 919,949,539,600/444,053
  6. Step 6: Final answer
    x = 2,071,711.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.