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Finding the Third Proportional to 897,604 and 1,935,176

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Solution

The third proportional to 897,604 and 1,935,176 is: 4,172,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,604 : 1,935,176 = 1,935,176 : x
  2. Step 2: Convert to fraction form
    897,604/1,935,176 = 1,935,176/x
  3. Step 3: Cross multiply
    897,604x = 1,935,176 × 1,935,176
  4. Step 4: Simplify right side
    897,604x = 3,744,906,150,976
  5. Step 5: Solve for x
    x = 3,744,906,150,976/897,604
  6. Step 6: Final answer
    x = 4,172,113.93

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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.