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Finding the Third Proportional to 897,657.19 and 1,947,906.98

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Solution

The third proportional to 897,657.19 and 1,947,906.98 is: 4,226,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,657.19 : 1,947,906.98 = 1,947,906.98 : x
  2. Step 2: Convert to fraction form
    897,657.19/1,947,906.98 = 1,947,906.98/x
  3. Step 3: Cross multiply
    897,657.19x = 1,947,906.98 × 1,947,906.98
  4. Step 4: Simplify right side
    897,657.19x = 3,794,341,619,776.91
  5. Step 5: Solve for x
    x = 3,794,341,619,776.91/897,657.19
  6. Step 6: Final answer
    x = 4,226,938.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.