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Finding the Third Proportional to 997,413 and 2,065,773

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Solution

The third proportional to 997,413 and 2,065,773 is: 4,278,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,413 : 2,065,773 = 2,065,773 : x
  2. Step 2: Convert to fraction form
    997,413/2,065,773 = 2,065,773/x
  3. Step 3: Cross multiply
    997,413x = 2,065,773 × 2,065,773
  4. Step 4: Simplify right side
    997,413x = 4,267,418,087,529
  5. Step 5: Solve for x
    x = 4,267,418,087,529/997,413
  6. Step 6: Final answer
    x = 4,278,486.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.