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Finding the Third Proportional to 896,940 and 1,910,160

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Solution

The third proportional to 896,940 and 1,910,160 is: 4,067,954.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,940 : 1,910,160 = 1,910,160 : x
  2. Step 2: Convert to fraction form
    896,940/1,910,160 = 1,910,160/x
  3. Step 3: Cross multiply
    896,940x = 1,910,160 × 1,910,160
  4. Step 4: Simplify right side
    896,940x = 3,648,711,225,600
  5. Step 5: Solve for x
    x = 3,648,711,225,600/896,940
  6. Step 6: Final answer
    x = 4,067,954.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.