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Finding the Third Proportional to 997,155 and 2,113,938

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Solution

The third proportional to 997,155 and 2,113,938 is: 4,481,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,155 : 2,113,938 = 2,113,938 : x
  2. Step 2: Convert to fraction form
    997,155/2,113,938 = 2,113,938/x
  3. Step 3: Cross multiply
    997,155x = 2,113,938 × 2,113,938
  4. Step 4: Simplify right side
    997,155x = 4,468,733,867,844
  5. Step 5: Solve for x
    x = 4,468,733,867,844/997,155
  6. Step 6: Final answer
    x = 4,481,483.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.